content: <PAGE>   1
       AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON AUGUST 28, 1998
                                                   Registration No. 333-
  ================================================================================
  
                         SECURITIES AND EXCHANGE COMMISSION
                               Washington, D.C. 20549
  
                                  -----------------
                                      FORM S-8
                               REGISTRATION STATEMENT
                                        UNDER
                             THE SECURITIES ACT OF 1933
                                  -----------------
  
  
                             RANGE RESOURCES CORPORATION
               (Exact name of registrant as specified in its charter)
  
  
              DELAWARE                                         34-1312571        
  (State or other jurisdiction of                           (I.R.S. Employer     
   incorporation or organization)                          Identification No.)   
  
                               500 THROCKMORTON STREET
                               FORT WORTH, TEXAS 76102
            (Address of principal executive offices, including zip code)
  
                                --------------------
  
           SECOND AMENDED AND RESTATED 1996 STOCK PURCHASE PLAN AND OPTION
           PLAN FOR EMPLOYEES OF DOMAIN ENERGY CORPORATION AND AFFILIATES
                                         AND
                DOMAIN ENERGY CORPORATION 1997 STOCK OPTION PLAN FOR
                                NONEMPLOYEE DIRECTORS
                              (Full title of the plans)
  
                                  JOHN H. PINKERTON
                        PRESIDENT AND CHIEF EXECUTIVE OFFICER
                             RANGE RESOURCES CORPORATION
                               500 THROCKMORTON STREET
                               FORT WORTH, TEXAS 76102
                                   (817) 870-2601
              (Name, address and telephone number of agent for service)
  
                                      copy to:
  
                                    J. MARK METTS
                               VINSON & ELKINS L.L.P.
                               1001 FANNIN, SUITE 2300
                              HOUSTON, TEXAS 77002-6760
                                   (713) 758-2222
  
  <TABLE>
  <CAPTION>
                                        CALCULATION OF REGISTRATION FEE
  ===============================================================================================================
                                                       Proposed             Proposed
     Title of securities      Amount to be          maximum offering     maximum aggregate        Amount of
      to be registered       registered (1)        price per share (3)  offering price (3)    registration fee
  ---------------------------------------------------------------------------------------------------------------
  <S>                        <C>                         <C>               <C>                    <C>   
  Common Stock, $0.01 par
  value per share.........   1,163,005 shares (2)        $11.55            $3,431,906             $1,012
  ---------------------------------------------------------------------------------------------------------------
  </TABLE>
  (1) Plus such indeterminate number of shares of Common Stock of the Registrant
  as may be issued to prevent dilution resulting from stock dividends, stock
  splits or similar transactions in accordance with Rule 416 under the Securities
  Act of 1933, as amended.
  (2) 1,138,830 of such shares are issuable upon the exercise of outstanding
  options granted or options available for grant under the Second Amended and
  Restated 1996 Stock Purchase and Option Plan for Key Employees of Domain Energy
  Corporation and Affiliates and 24,175 of such shares are issuable upon the
  exercise of outstanding options granted or options available for grant under the
  Domain Energy Corporation 1997 Stock Option Plan for Nonemployee Directors.
  (3) Of the 1,163,005 shares to be registered pursuant to this Form S-8, 508,984
  are exercisable for $.01 per share, 509,016 are exercisable for $3.46 per share,
  120,830 are exercisable for $11.55 per share and 24,175 are exercisable for
  $11.17 per share. The exercise price for the remaining shares has been estimated
  upon the basis of the price of securities of the same class, using the average
  of the high and low prices reported by the New York Stock Exchange for purposes
  of calculating the registration fee pursuant to Rule 457(h) of the Securities
  Act of 1933, as amended.
  ================================================================================
  
  
  <PAGE>   2
  
  
  
                                       PART I
  
                INFORMATION REQUIRED IN THE SECTION 10(a) PROSPECTUS
  
  ITEM 1.  PLAN INFORMATION.
  
           The documents containing the information specified in Part I of this
  Registration Statement will be sent or given to employees of Range Energy
  Corporation (formerly Domain Energy Corporation) as specified by Rule 428(b)(1).
  Such documents are not required to be and are not filed with the Securities and
  Exchange Commission (the "Commission") either as part of this Registration
  Statement or as prospectuses or prospectus supplements pursuant to Rule 424.
  These documents and the documents incorporated by reference in this Registration
  Statement pursuant to Item 3 of Part II of this Form S-8, taken together,
  constitute a prospectus that meets the requirements of Section 10(a) of the
  Securities Act of 1933, as amended (the "Securities Act").
  
  ITEM 2.  REGISTRANT INFORMATION AND EMPLOYEE PLAN ANNUAL INFORMATION.
  
           Upon written or oral request, any of the documents incorporated by
  reference in Item 3 of Part II of this Registration Statement (which documents
  are incorporated by reference in the Section 10(a) Prospectus), other documents
  required to be delivered to eligible employees pursuant to Rule 428(b) and
  additional information about the Second Amended and Restated 1996 Stock Purchase
  and Option Plan for Key Employees of Domain Energy Corporation and Affiliates
  and the Domain Energy Corporation 1997 Stock Option Plan for Nonemployee
  Directors and their respective administrators is available without charge by
  contacting:
  
                                               Range Energy Corporation
                                               500 Throckmorton Street
                                               Fort Worth, Texas  76102
                                                    (817) 870-2601
  
                                      Attention:       Secretary
  
  
                                        -2-
  <PAGE>   3
  
  
  
                                       PART II
                 INFORMATION REQUIRED IN THE REGISTRATION STATEMENT
  
  
  ITEM 3.  INCORPORATION OF DOCUMENTS BY REFERENCE.
  
           The Registrant hereby incorporates by reference into this Registration
  Statement the following documents:
  
           (a)      The Registrant's Annual Report on Form 10-K for the fiscal
                    year ended December 31, 1997, dated March 20, 1998, filed
                    pursuant to Section 13(a) of the Securities Exchange Act of
                    1934 (the "Exchange Act");
  
           (b)      All other reports filed by the Registrant since December 31,
                    1997 with the Commission pursuant to Section 13(a) or 15(d) of
                    the Exchange Act, including the Registrant's Quarterly Reports
                    on Form 10- Q for the fiscal quarters ended March 31, 1998 and
                    June 30, 1998; and
  
           (c)      The description of the Registrant's Common Stock contained in
                    the Registration Statement on Form 10, dated June 18, 1980,
                    and filed with the Commission pursuant to Section 12(g) of the
                    Exchange Act, including any subsequent amendment(s) or
                    report(s) filed for the purpose of updating such description.
  
           All documents subsequently filed by the Registrant pursuant to Sections
  13(a), 13(c), 14 and 15(d) of the Exchange Act prior to the filing of a
  post-effective amendment that indicates that all securities offered have been
  sold or that deregisters all securities then remaining unsold shall also be
  deemed to be incorporated by reference herein and to be a part hereof from the
  dates of filing of such documents. Any statement contained in a document
  incorporated or deemed to be incorporated by reference herein shall be deemed to
  be modified or superseded for purposes of this Registration Statement to the
  extent that a statement contained herein or in any other subsequently filed
  document which also is or is deemed to be incorporated by reference herein
  modifies or supersedes such statement. Any statement so modified or superseded
  shall not be deemed, except as so modified or superseded, to constitute a part
  of this Registration Statement. Upon the written or oral request of any person
  to whom a copy of this Registration Statement has been delivered, the Registrant
  will provide without charge to such person a copy of any and all documents
  (excluding exhibits thereto unless such exhibits are specifically incorporated
  by reference into such documents) that have been incorporated by reference into
  this Registration Statement but not delivered herewith. Requests for such
  documents should be directed to Range Energy Corporation, 500 Throckmorton
  Street, Fort Worth, Texas 76102, Attention: Secretary, telephone (817)
  8710-2601.
  
  ITEM 4.  DESCRIPTION OF SECURITIES.
  
           Not applicable.
  
  ITEM 5.  INTERESTS OF NAMED EXPERTS AND COUNSEL.
  
           Not applicable.
  
  ITEM 6.  INDEMNIFICATION OF DIRECTORS AND OFFICERS.
  
           The Registrant is a Delaware corporation. Section 145 of the Delaware
  General Corporation Law generally provides that a corporation is empowered to
  indemnify any person who is made a party to a proceeding or threatened
  proceeding by reason of the fact that he is or was a director, officer, employee
  or agent of the corporation or was, at the request of the corporation, serving
  in any of such capacities in another corporation to indemnify any such person.
  
           Article SEVENTH, section (5) the Registrant's Certificate of
  Incorporation provides:
  
                    "Any former, present or future director, officer or employee
                    of the Company or the legal representative of any such
                    director, officer, or employee shall be indemnified by the
                    Company
  
  
                                        -3-
  <PAGE>   4
  
  
  
                    (a) against reasonable costs, disbursements and counsel fees
                    paid or incurred where such person has been successful on the
                    merits or otherwise in any pending, threatened or completed
                    civil, criminal, administrative or arbitrative action, suit or
                    proceeding, and any appeal therein and any inquiry or
                    investigation which could lead to such action, suit or
                    proceeding, or in defense of any claim issue or matter
                    therein, by reason of such person being or having been such
                    director, officer or employee, and
  
                    (b) with respect to any such action, suit, proceeding, inquiry
                    or investigation for which indemnification is not made under
                    (a) above, against reasonable costs, disbursements (which
                    shall include amounts paid in satisfaction of settlements,
                    judgments, fines and penalties, exclusive, however, of any
                    amount paid or payable to the Company) and counsel fees if
                    such person also had no reasonable cause to believe the
                    conduct was unlawful, with the determination as to whether the
                    applicable standard of conduct was met to be made by a
                    majority of the members of the Board of Directors (sitting as
                    a committee of the Board) who were not parties to such
                    inquiry, investigation, action, suit or proceeding or by any
                    one or more disinterested counsel to whom the question may be
                    referred to the Board of Directors; provided, however, in
                    connection with any proceeding by or in the right of the
                    Company, no indemnification shall be provided as to any person
                    adjudged by any court to be liable for negligence or
                    misconduct except as and to the extent determined by such
                    court.
  
                    The termination of any such inquiry, investigation, action,
                    suit or proceeding by judgment, order, settlement, conviction
                    or upon a plea of nolo contendere or its equivalent shall not
                    of itself create a presumption that such person did not meet
                    the standards of conduct set forth in subsection (b) above.
  
                    Reasonable costs, disbursements and counsel fees incurred by
                    such person in connection with any inquiry, investigation
                    action, suit or proceeding may be paid by the Company in
                    advance of the final disposition of such matter if authorized
                    by a majority of the Board of Directors (sitting as a
                    committee of the Board) not parties to such matter upon
                    receipt by the Company of an undertaking by or on behalf of
                    such person to repay such amount unless it is ultimately
                    determined that such person is entitled to be indemnified as
                    set forth herein.
  
                    The Board of Directors may, at any regular or special meeting
                    of the Board, by resolution, accord similar indemnification
                    (prospective or retroactive) to any director, trustee, officer
                    or employee of any other company who is serving as such at the
                    request of the Company because of the Company's interest in
                    such other company and any officer, director or employee of
                    any constituent corporation absorbed by the Company in a
                    consolidation or merger, or the legal representative of any
                    such director, trustee, officer or employee.
  
                    The indemnification herein provided shall not exclude any
                    other rights to which such person may be entitled as a matter
                    of law or which may be lawfully granted."
  
           Article EIGHTH of the Registrant's Certificate of Incorporation
  provides:
  
                    "No director of the Corporation shall be liable to the
                    Corporation or its stockholders for monetary damages for
                    breach of fiduciary duty as a director, except for liability
                    (i) for any breach of the director's duty of loyalty to the
                    Corporation or its stockholders, (ii) for acts or omissions
                    not in good faith or which involve intentional misconduct or a
                    knowing violation of law, (iii) under Section 174 of the
                    Delaware General Corporation Law, or (iv) for any transaction
                    from which the director derived an improper personal benefit.
                    This paragraph shall not eliminate or limit the liability of a
                    director for any act or omission occurring prior to the
                    effective date of its adoption. If the General Corporation Law
                    of the State of Delaware is hereafter amended to authorize
                    corporate action further limiting or eliminating the personal
                    liability of directors, then the liability of a director to
                    the Corporation shall be limited or eliminated to the fullest
                    extent permitted by the General Corporation Law of the State
                    of Delaware, as so amended from time to time. No repeal or
                    modification of this Article VIII, directly or by adoption of
                    an inconsistent provision of this Certificate of
                    Incorporation, by the stockholders of the Corporation shall be
                    effective with respect to any cause of action, suit claim or
                    other matter, but for this Article VIII, would accrue or arise
                    prior to such repeal or modification."
  
  
                                        -4-
  <PAGE>   5
           Article XII of the Company's Bylaws, incorporating the above
  provisions, provides for an indemnification agreement to be entered into by
  directors and designated officers of the Company. All directors of the Company
  have executed an indemnification agreement, the form of which was approved by
  stockholders at the Company's 1994 annual stockholder's meeting.
  
           Article XII of the Company's Bylaws also allows the Company to purchase
  liability insurance for officers and directors. As of the date hereof, there is
  no such insurance in place.
  
           Article XIII of the Company's Bylaws, with certain specified
  exceptions, limits the personal liability of the directors to Lomak or its
  stockholders for monetary damages for breach of fiduciary duty to the fullest
  extent permitted by Delaware law, including any changes in Delaware law adopted
  in the future.
  
  ITEM 7.  EXEMPTION FROM REGISTRATION CLAIMED.
  
           Not applicable.
  
  ITEM 8.  EXHIBITS.
  
           Unless otherwise indicated below as being incorporated by reference to
  another filing of the Registrant with the Commission, each of the following
  exhibits is filed herewith:
  
           3.1      --        Certificate of Amendment to Certificate of 
                              Incorporation of the Company dated August 25, 1998
  
  
           4.1      --        Second Amended and Restated 1996 Stock Purchase and
                              Option Plan for Key Employees of Domain Energy
                              Corporation and Affiliates
  
           4.2      --        Domain Energy Corporation 1997 Stock Option Plan for
                              Nonemployee Directors
  
           5.1      --        Opinion of Vinson & Elkins L.L.P.
  
           23.1     --        Consent of Arthur Andersen LLP
  
           23.2     --        Consent of Vinson & Elkins L.L.P. (included in the
                              opinion filed as Exhibit 5.1 hereto)
  
           24.1     --        Powers of Attorney (included in the signature pages
                              hereto)
  
  ITEM 9.  UNDERTAKINGS.
  
           The Registrant hereby undertakes:
  
                    (1) to file, during any period in which offers or sales are
           being made, a post-effective amendment to this Registration Statement:
  
                    (i) to include any prospectus required by Section 10(a)(3) of
           the Securities Act of 1933, as amended (the "Securities Act");
  
                    (ii) to reflect in the prospectus any facts or events arising
           after the effective date of the Registration Statement (or the most
           recent post-effective amendment thereof) which, individually or in the
           aggregate, represent a fundamental change in the information set forth
           in the Registration Statement; and
  
                    (iii) to include any material information with respect to the
           plan of distribution not previously disclosed in the Registration
           Statement or any material change to such information in the
           Registration Statement; provided, however, that paragraphs (1)(i) and
           (1)(ii) do not apply if the information required to be included in a
           post-effective amendment by those paragraphs is contained in periodic
           reports filed by the Registrant pursuant to Section 13 or Section 15(d)
           of the Exchange Act that are incorporated by reference in this
           Registration Statement.
  
  
                                        -5-
  <PAGE>   6
  
  
  
                    (2) That, for the purposes of determining any liability under
        the Securities Act, each such post-effective amendment shall be deemed to
        be a new Registration Statement relating to the securities offered
        therein, and the offering of such securities at that time shall be deemed
        to be the initial bona fide offering thereof.
  
                    (3) To remove from registration by means of a post-effective
        amendment any of the securities being registered which remain unsold at
        the termination of the offering.
  
                    (4) That, for purposes of determining any liability under the
        Securities Act, each filing of the Registrant's annual report pursuant to
        Section 13(a) or Section 15(d) of the Exchange Act that is incorporated by
        reference in the Registration Statement shall be deemed to be a new
        Registration Statement relating to the securities offered therein, and the
        offering of such securities at that time shall be deemed to be the initial
        bona fide offering thereof.
  
                    (5) Insofar as indemnification for liabilities arising under
        the Securities Act may be permitted to directors, officers and controlling
        persons of the Registrant pursuant to the foregoing provisions, or
        otherwise, the Registrant has been advised that in the opinion of the
        Commission such indemnification is against public policy as expressed in
        the Securities Act and is, therefore, unenforceable. In the event that a
        claim for indemnification against such liabilities (other than the payment
        by the Registrant of expenses incurred or paid by a director, officer or
        controlling person of the Registrant in the successful defense of any
        action, suit or proceeding) is asserted by such director, officer or
        controlling person in connection with the securities being registered, the
        Registrant will, unless in the opinion of its counsel the matter has been
        settled by controlling precedent, submit to a court of appropriate
        jurisdiction the question whether such indemnification by it is against
        public policy as expressed in the Securities Act and will be governed by
        the final adjudication of such issue.
  
                                        -6-
  <PAGE>   7
  
  
  
                                     SIGNATURES
  
        Pursuant to the requirements of the Securities Act of 1933, the Registrant
  certifies that it has reasonable grounds to believe that it meets all of the
  requirements for filing on Form S-8 and has duly caused this Registration
  Statement to be signed on its behalf by the undersigned, thereunto duly
  authorized, in the City of Hartville, State of Ohio, on the 28th day of August,
  1998.
  
                  RANGE RESOURCES CORPORATION
  
  
                  By:        /s/  THOMAS W. STOELK
                     -------------------------------------------------------------
                       Thomas W. Stoelk
                       Senior Vice President-Finance and Administration and Chief
                       Financial Officer
  
        Pursuant to the requirements of the Securities Act of 1933, this
  registration statement has been signed by the following persons in the
  capacities and on the dates indicated. Each person whose signature appears below
  authorizes and appoints each of John H. Pinkerton and Thomas W. Stoelk, and each
  of them severally, acting alone and without the other, as his attorney-in-fact
  to execute in the name of such person and to file any amendments to this
  Registration Statement necessary or advisable to enable the Registrant to comply
  with the Securities Act of 1933 and any rules, regulations and requirements of
  the registration of the securities which are the subject of this Registration
  Statement, which amendments may make such changes in the Registration Statement
  as such attorney-in-fact may deem appropriate.
  
  
  
  <TABLE>
  <CAPTION>
                      Signature                            Capacity                       Date
                      ---------                            --------                       ----
                <S>                         <C>                                       <C> 
                /s/ THOMAS J. EDELMAN                Chairman and Director            August 28, 1998
                ---------------------
                    Thomas J. Edelman
  
                /s/ JOHN H. PINKERTON       President, Chief Executive Officer and    August 28, 1998
                ---------------------       Director (Principal Executive Officer)
                    John H. Pinkerton       
  
                /s/ MICHAEL V. RONCA         Chief Operating Officer and Director     August 28, 1998
                ---------------------            (Principal Operating Officer)
                    Michael V. Ronca             
  
                /s/ C. RAND MICHAELS              Vice Chairman and Director          August 28, 1998
                ---------------------
                    C. Rand Michaels
  
                /s/ ROBERT E. AIKMAN                      Director                    August 28, 1998
                ---------------------
                    Robert E. Aikman
  
                /s/ ALLEN FINKELSON                       Director                    August 28, 1998
                ---------------------
                    Allen Finkelson
  
                /s/ ANTHONY V. DUB                        Director                    August 28, 1998
                ---------------------
                    Anthony V. Dub
  </TABLE>
  
  
  
  
  <PAGE>   8
  
  
  
  
  <TABLE>
               <S>                            <C>                                       <C> 
                  /s/ BEN A. GUILL                           Director                   August 28, 1998
               ----------------------
                      Ben A. Guill
  
               /s/ JONATHAN S. LINKER                        Director                   August 28, 1998
               ----------------------
                   Jonathan S. Linker
  
                /s/ THOMAS W. STOELK            Senior Vice President - Finance and     August 28, 1998
               ----------------------                     Administration
                    Thomas W. Stoelk               (Principal Financial Officer)      
                                                   
  
                /s/ GEOFFREY T. DOKE          Vice President - Controller (Principal    August 28, 1998
               ----------------------                  Accounting Officer)
                    Geoffrey T. Doke                    
  </TABLE>
  
  
  
  <PAGE>   9
  
  
  
  
                                    EXHIBIT INDEX
  
  
  <TABLE>
  <CAPTION>
  Exhibit                             Description of Exhibit
  -------                             ----------------------
  <S>      <C>       <C>                    
  3.1      --        Certificate of Amendment to Certificate of Incorporation of
                     the Company dated August 25, 1998
  
  4.1      --        Second Amended and Restated 1996 Stock Purchase and Option
                     Plan for Key Employees of Domain Energy Corporation and
                     Affiliates
  
  4.2      --        Domain Energy Corporation 1997 Stock Option Plan for Nonemployee Directors
  
  5.1      --        Opinion of Vinson & Elkins L.L.P.
  
  23.1     --        Consent of Arthur Andersen LLP
  
  23.2     --        Consent of Vinson & Elkins L.L.P. (included in the opinion filed
                     as Exhibit 5.1 hereto)
  
  24.1     --        Powers of Attorney (included in the signature pages hereto)
  </TABLE>
metadata_documents: [{"type": "S-8", "sequence": "1", "description": "FORM S-8", "secsgml_size_bytes": 27711}]
metadata_filer: {"company-data": {"conformed-name": "RANGE RESOURCES CORP", "cik": "0000315852", "assigned-sic": "1311", "irs-number": "341312571", "state-of-incorporation": "DE", "fiscal-year-end": "1231"}, "filing-values": {"form-type": "S-8", "act": "33", "file-number": "333-62439", "film-number": "98700541"}, "business-address": {"street1": "500 THROCKMORTON ST", "city": "FORTH WORTH", "state": "TX", "zip": "76102", "phone": "8178702601"}, "mail-address": {"street1": "1160 SUNNYSIDE", "street2": "1160 SUNNYSIDE", "city": "HARTVILLE", "state": "OH", "zip": "44632"}, "former-company": {"former-conformed-name": "LOMAK PETROLEUM INC", "date-changed": "19920703"}}
text: 1
       AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON AUGUST 28, 1998
                                                   Registration No. 333-
  ================================================================================
  
                         SECURITIES AND EXCHANGE COMMISSION
                               Washington, D.C. 20549
  
                                  -----------------
                                      FORM S-8
                               REGISTRATION STATEMENT
                                        UNDER
                             THE SECURITIES ACT OF 1933
                                  -----------------
  
                             RANGE RESOURCES CORPORATION
               (Exact name of registrant as specified in its charter)
  
              DELAWARE                                         34-1312571        
  (State or other jurisdiction of                           (I.R.S. Employer     
   incorporation or organization)                          Identification No.)   
  
                               500 THROCKMORTON STREET
                               FORT WORTH, TEXAS 76102
            (Address of principal executive offices, including zip code)
  
                                --------------------
  
           SECOND AMENDED AND RESTATED 1996 STOCK PURCHASE PLAN AND OPTION
           PLAN FOR EMPLOYEES OF DOMAIN ENERGY CORPORATION AND AFFILIATES
                                         AND
                DOMAIN ENERGY CORPORATION 1997 STOCK OPTION PLAN FOR
                                NONEMPLOYEE DIRECTORS
                              (Full title of the plans)
  
                                  JOHN H. PINKERTON
                        PRESIDENT AND CHIEF EXECUTIVE OFFICER
                             RANGE RESOURCES CORPORATION
                               500 THROCKMORTON STREET
                               FORT WORTH, TEXAS 76102
                                   (817) 870-2601
              (Name, address and telephone number of agent for service)
  
                                      copy to:
  
                                    J. MARK METTS
                               VINSON & ELKINS L.L.P.
                               1001 FANNIN, SUITE 2300
                              HOUSTON, TEXAS 77002-6760
                                   (713) 758-2222
  CALCULATION OF REGISTRATION FEE
  ===============================================================================================================
                                                       Proposed             Proposed
     Title of securities      Amount to be          maximum offering     maximum aggregate        Amount of
      to be registered       registered (1)        price per share (3)  offering price (3)    registration fee
  ---------------------------------------------------------------------------------------------------------------
  Common Stock, $0.01 par
  value per share.........   1,163,005 shares (2)        $11.55            $3,431,906             $1,012
  ---------------------------------------------------------------------------------------------------------------
  (1) Plus such indeterminate number of shares of Common Stock of the Registrant
  as may be issued to prevent dilution resulting from stock dividends, stock
  splits or similar transactions in accordance with Rule 416 under the Securities
  Act of 1933, as amended.
  (2) 1,138,830 of such shares are issuable upon the exercise of outstanding
  options granted or options available for grant under the Second Amended and
  Restated 1996 Stock Purchase and Option Plan for Key Employees of Domain Energy
  Corporation and Affiliates and 24,175 of such shares are issuable upon the
  exercise of outstanding options granted or options available for grant under the
  Domain Energy Corporation 1997 Stock Option Plan for Nonemployee Directors.
  (3) Of the 1,163,005 shares to be registered pursuant to this Form S-8, 508,984
  are exercisable for $.01 per share, 509,016 are exercisable for $3.46 per share,
  120,830 are exercisable for $11.55 per share and 24,175 are exercisable for
  $11.17 per share. The exercise price for the remaining shares has been estimated
  upon the basis of the price of securities of the same class, using the average
  of the high and low prices reported by the New York Stock Exchange for purposes
  of calculating the registration fee pursuant to Rule 457(h) of the Securities
  Act of 1933, as amended.
  ================================================================================
  2
  
                                       PART I
  
                INFORMATION REQUIRED IN THE SECTION 10(a) PROSPECTUS
  
  ITEM 1.  PLAN INFORMATION.
  
           The documents containing the information specified in Part I of this
  Registration Statement will be sent or given to employees of Range Energy
  Corporation (formerly Domain Energy Corporation) as specified by Rule 428(b)(1).
  Such documents are not required to be and are not filed with the Securities and
  Exchange Commission (the "Commission") either as part of this Registration
  Statement or as prospectuses or prospectus supplements pursuant to Rule 424.
  These documents and the documents incorporated by reference in this Registration
  Statement pursuant to Item 3 of Part II of this Form S-8, taken together,
  constitute a prospectus that meets the requirements of Section 10(a) of the
  Securities Act of 1933, as amended (the "Securities Act").
  
  ITEM 2.  REGISTRANT INFORMATION AND EMPLOYEE PLAN ANNUAL INFORMATION.
  
           Upon written or oral request, any of the documents incorporated by
  reference in Item 3 of Part II of this Registration Statement (which documents
  are incorporated by reference in the Section 10(a) Prospectus), other documents
  required to be delivered to eligible employees pursuant to Rule 428(b) and
  additional information about the Second Amended and Restated 1996 Stock Purchase
  and Option Plan for Key Employees of Domain Energy Corporation and Affiliates
  and the Domain Energy Corporation 1997 Stock Option Plan for Nonemployee
  Directors and their respective administrators is available without charge by
  contacting:
  
                                               Range Energy Corporation
                                               500 Throckmorton Street
                                               Fort Worth, Texas  76102
                                                    (817) 870-2601
  
                                      Attention:       Secretary
  
                                        -2-
  3
  
                                       PART II
                 INFORMATION REQUIRED IN THE REGISTRATION STATEMENT
  
  ITEM 3.  INCORPORATION OF DOCUMENTS BY REFERENCE.
  
           The Registrant hereby incorporates by reference into this Registration
  Statement the following documents:
  
           (a)      The Registrant's Annual Report on Form 10-K for the fiscal
                    year ended December 31, 1997, dated March 20, 1998, filed
                    pursuant to Section 13(a) of the Securities Exchange Act of
                    1934 (the "Exchange Act");
  
           (b)      All other reports filed by the Registrant since December 31,
                    1997 with the Commission pursuant to Section 13(a) or 15(d) of
                    the Exchange Act, including the Registrant's Quarterly Reports
                    on Form 10- Q for the fiscal quarters ended March 31, 1998 and
                    June 30, 1998; and
  
           (c)      The description of the Registrant's Common Stock contained in
                    the Registration Statement on Form 10, dated June 18, 1980,
                    and filed with the Commission pursuant to Section 12(g) of the
                    Exchange Act, including any subsequent amendment(s) or
                    report(s) filed for the purpose of updating such description.
  
           All documents subsequently filed by the Registrant pursuant to Sections
  13(a), 13(c), 14 and 15(d) of the Exchange Act prior to the filing of a
  post-effective amendment that indicates that all securities offered have been
  sold or that deregisters all securities then remaining unsold shall also be
  deemed to be incorporated by reference herein and to be a part hereof from the
  dates of filing of such documents. Any statement contained in a document
  incorporated or deemed to be incorporated by reference herein shall be deemed to
  be modified or superseded for purposes of this Registration Statement to the
  extent that a statement contained herein or in any other subsequently filed
  document which also is or is deemed to be incorporated by reference herein
  modifies or supersedes such statement. Any statement so modified or superseded
  shall not be deemed, except as so modified or superseded, to constitute a part
  of this Registration Statement. Upon the written or oral request of any person
  to whom a copy of this Registration Statement has been delivered, the Registrant
  will provide without charge to such person a copy of any and all documents
  (excluding exhibits thereto unless such exhibits are specifically incorporated
  by reference into such documents) that have been incorporated by reference into
  this Registration Statement but not delivered herewith. Requests for such
  documents should be directed to Range Energy Corporation, 500 Throckmorton
  Street, Fort Worth, Texas 76102, Attention: Secretary, telephone (817)
  8710-2601.
  
  ITEM 4.  DESCRIPTION OF SECURITIES.
  
           Not applicable.
  
  ITEM 5.  INTERESTS OF NAMED EXPERTS AND COUNSEL.
  
           Not applicable.
  
  ITEM 6.  INDEMNIFICATION OF DIRECTORS AND OFFICERS.
  
           The Registrant is a Delaware corporation. Section 145 of the Delaware
  General Corporation Law generally provides that a corporation is empowered to
  indemnify any person who is made a party to a proceeding or threatened
  proceeding by reason of the fact that he is or was a director, officer, employee
  or agent of the corporation or was, at the request of the corporation, serving
  in any of such capacities in another corporation to indemnify any such person.
  
           Article SEVENTH, section (5) the Registrant's Certificate of
  Incorporation provides:
  
                    "Any former, present or future director, officer or employee
                    of the Company or the legal representative of any such
                    director, officer, or employee shall be indemnified by the
                    Company
  
                                        -3-
  4
  
                    (a) against reasonable costs, disbursements and counsel fees
                    paid or incurred where such person has been successful on the
                    merits or otherwise in any pending, threatened or completed
                    civil, criminal, administrative or arbitrative action, suit or
                    proceeding, and any appeal therein and any inquiry or
                    investigation which could lead to such action, suit or
                    proceeding, or in defense of any claim issue or matter
                    therein, by reason of such person being or having been such
                    director, officer or employee, and
  
                    (b) with respect to any such action, suit, proceeding, inquiry
                    or investigation for which indemnification is not made under
                    (a) above, against reasonable costs, disbursements (which
                    shall include amounts paid in satisfaction of settlements,
                    judgments, fines and penalties, exclusive, however, of any
                    amount paid or payable to the Company) and counsel fees if
                    such person also had no reasonable cause to believe the
                    conduct was unlawful, with the determination as to whether the
                    applicable standard of conduct was met to be made by a
                    majority of the members of the Board of Directors (sitting as
                    a committee of the Board) who were not parties to such
                    inquiry, investigation, action, suit or proceeding or by any
                    one or more disinterested counsel to whom the question may be
                    referred to the Board of Directors; provided, however, in
                    connection with any proceeding by or in the right of the
                    Company, no indemnification shall be provided as to any person
                    adjudged by any court to be liable for negligence or
                    misconduct except as and to the extent determined by such
                    court.
  
                    The termination of any such inquiry, investigation, action,
                    suit or proceeding by judgment, order, settlement, conviction
                    or upon a plea of nolo contendere or its equivalent shall not
                    of itself create a presumption that such person did not meet
                    the standards of conduct set forth in subsection (b) above.
  
                    Reasonable costs, disbursements and counsel fees incurred by
                    such person in connection with any inquiry, investigation
                    action, suit or proceeding may be paid by the Company in
                    advance of the final disposition of such matter if authorized
                    by a majority of the Board of Directors (sitting as a
                    committee of the Board) not parties to such matter upon
                    receipt by the Company of an undertaking by or on behalf of
                    such person to repay such amount unless it is ultimately
                    determined that such person is entitled to be indemnified as
                    set forth herein.
  
                    The Board of Directors may, at any regular or special meeting
                    of the Board, by resolution, accord similar indemnification
                    (prospective or retroactive) to any director, trustee, officer
                    or employee of any other company who is serving as such at the
                    request of the Company because of the Company's interest in
                    such other company and any officer, director or employee of
                    any constituent corporation absorbed by the Company in a
                    consolidation or merger, or the legal representative of any
                    such director, trustee, officer or employee.
  
                    The indemnification herein provided shall not exclude any
                    other rights to which such person may be entitled as a matter
                    of law or which may be lawfully granted."
  
           Article EIGHTH of the Registrant's Certificate of Incorporation
  provides:
  
                    "No director of the Corporation shall be liable to the
                    Corporation or its stockholders for monetary damages for
                    breach of fiduciary duty as a director, except for liability
                    (i) for any breach of the director's duty of loyalty to the
                    Corporation or its stockholders, (ii) for acts or omissions
                    not in good faith or which involve intentional misconduct or a
                    knowing violation of law, (iii) under Section 174 of the
                    Delaware General Corporation Law, or (iv) for any transaction
                    from which the director derived an improper personal benefit.
                    This paragraph shall not eliminate or limit the liability of a
                    director for any act or omission occurring prior to the
                    effective date of its adoption. If the General Corporation Law
                    of the State of Delaware is hereafter amended to authorize
                    corporate action further limiting or eliminating the personal
                    liability of directors, then the liability of a director to
                    the Corporation shall be limited or eliminated to the fullest
                    extent permitted by the General Corporation Law of the State
                    of Delaware, as so amended from time to time. No repeal or
                    modification of this Article VIII, directly or by adoption of
                    an inconsistent provision of this Certificate of
                    Incorporation, by the stockholders of the Corporation shall be
                    effective with respect to any cause of action, suit claim or
                    other matter, but for this Article VIII, would accrue or arise
                    prior to such repeal or modification."
  
                                        -4-
  5
           Article XII of the Company's Bylaws, incorporating the above
  provisions, provides for an indemnification agreement to be entered into by
  directors and designated officers of the Company. All directors of the Company
  have executed an indemnification agreement, the form of which was approved by
  stockholders at the Company's 1994 annual stockholder's meeting.
  
           Article XII of the Company's Bylaws also allows the Company to purchase
  liability insurance for officers and directors. As of the date hereof, there is
  no such insurance in place.
  
           Article XIII of the Company's Bylaws, with certain specified
  exceptions, limits the personal liability of the directors to Lomak or its
  stockholders for monetary damages for breach of fiduciary duty to the fullest
  extent permitted by Delaware law, including any changes in Delaware law adopted
  in the future.
  
  ITEM 7.  EXEMPTION FROM REGISTRATION CLAIMED.
  
           Not applicable.
  
  ITEM 8.  EXHIBITS.
  
           Unless otherwise indicated below as being incorporated by reference to
  another filing of the Registrant with the Commission, each of the following
  exhibits is filed herewith:
  
           3.1      --        Certificate of Amendment to Certificate of 
                              Incorporation of the Company dated August 25, 1998
  
           4.1      --        Second Amended and Restated 1996 Stock Purchase and
                              Option Plan for Key Employees of Domain Energy
                              Corporation and Affiliates
  
           4.2      --        Domain Energy Corporation 1997 Stock Option Plan for
                              Nonemployee Directors
  
           5.1      --        Opinion of Vinson & Elkins L.L.P.
  
           23.1     --        Consent of Arthur Andersen LLP
  
           23.2     --        Consent of Vinson & Elkins L.L.P. (included in the
                              opinion filed as Exhibit 5.1 hereto)
  
           24.1     --        Powers of Attorney (included in the signature pages
                              hereto)
  
  ITEM 9.  UNDERTAKINGS.
  
           The Registrant hereby undertakes:
  
                    (1) to file, during any period in which offers or sales are
           being made, a post-effective amendment to this Registration Statement:
  
                    (i) to include any prospectus required by Section 10(a)(3) of
           the Securities Act of 1933, as amended (the "Securities Act");
  
                    (ii) to reflect in the prospectus any facts or events arising
           after the effective date of the Registration Statement (or the most
           recent post-effective amendment thereof) which, individually or in the
           aggregate, represent a fundamental change in the information set forth
           in the Registration Statement; and
  
                    (iii) to include any material information with respect to the
           plan of distribution not previously disclosed in the Registration
           Statement or any material change to such information in the
           Registration Statement; provided, however, that paragraphs (1)(i) and
           (1)(ii) do not apply if the information required to be included in a
           post-effective amendment by those paragraphs is contained in periodic
           reports filed by the Registrant pursuant to Section 13 or Section 15(d)
           of the Exchange Act that are incorporated by reference in this
           Registration Statement.
  
                                        -5-
  6
  
                    (2) That, for the purposes of determining any liability under
        the Securities Act, each such post-effective amendment shall be deemed to
        be a new Registration Statement relating to the securities offered
        therein, and the offering of such securities at that time shall be deemed
        to be the initial bona fide offering thereof.
  
                    (3) To remove from registration by means of a post-effective
        amendment any of the securities being registered which remain unsold at
        the termination of the offering.
  
                    (4) That, for purposes of determining any liability under the
        Securities Act, each filing of the Registrant's annual report pursuant to
        Section 13(a) or Section 15(d) of the Exchange Act that is incorporated by
        reference in the Registration Statement shall be deemed to be a new
        Registration Statement relating to the securities offered therein, and the
        offering of such securities at that time shall be deemed to be the initial
        bona fide offering thereof.
  
                    (5) Insofar as indemnification for liabilities arising under
        the Securities Act may be permitted to directors, officers and controlling
        persons of the Registrant pursuant to the foregoing provisions, or
        otherwise, the Registrant has been advised that in the opinion of the
        Commission such indemnification is against public policy as expressed in
        the Securities Act and is, therefore, unenforceable. In the event that a
        claim for indemnification against such liabilities (other than the payment
        by the Registrant of expenses incurred or paid by a director, officer or
        controlling person of the Registrant in the successful defense of any
        action, suit or proceeding) is asserted by such director, officer or
        controlling person in connection with the securities being registered, the
        Registrant will, unless in the opinion of its counsel the matter has been
        settled by controlling precedent, submit to a court of appropriate
        jurisdiction the question whether such indemnification by it is against
        public policy as expressed in the Securities Act and will be governed by
        the final adjudication of such issue.
  
                                        -6-
  7
  
                                     SIGNATURES
  
        Pursuant to the requirements of the Securities Act of 1933, the Registrant
  certifies that it has reasonable grounds to believe that it meets all of the
  requirements for filing on Form S-8 and has duly caused this Registration
  Statement to be signed on its behalf by the undersigned, thereunto duly
  authorized, in the City of Hartville, State of Ohio, on the 28th day of August,
  1998.
  
                  RANGE RESOURCES CORPORATION
  
                  By:        /s/  THOMAS W. STOELK
                     -------------------------------------------------------------
                       Thomas W. Stoelk
                       Senior Vice President-Finance and Administration and Chief
                       Financial Officer
  
        Pursuant to the requirements of the Securities Act of 1933, this
  registration statement has been signed by the following persons in the
  capacities and on the dates indicated. Each person whose signature appears below
  authorizes and appoints each of John H. Pinkerton and Thomas W. Stoelk, and each
  of them severally, acting alone and without the other, as his attorney-in-fact
  to execute in the name of such person and to file any amendments to this
  Registration Statement necessary or advisable to enable the Registrant to comply
  with the Securities Act of 1933 and any rules, regulations and requirements of
  the registration of the securities which are the subject of this Registration
  Statement, which amendments may make such changes in the Registration Statement
  as such attorney-in-fact may deem appropriate.
  Signature                            Capacity                       Date
                      ---------                            --------                       ----
  /s/ THOMAS J. EDELMAN                Chairman and Director            August 28, 1998
                ---------------------
                    Thomas J. Edelman
  
                /s/ JOHN H. PINKERTON       President, Chief Executive Officer and    August 28, 1998
                ---------------------       Director (Principal Executive Officer)
                    John H. Pinkerton       
  
                /s/ MICHAEL V. RONCA         Chief Operating Officer and Director     August 28, 1998
                ---------------------            (Principal Operating Officer)
                    Michael V. Ronca             
  
                /s/ C. RAND MICHAELS              Vice Chairman and Director          August 28, 1998
                ---------------------
                    C. Rand Michaels
  
                /s/ ROBERT E. AIKMAN                      Director                    August 28, 1998
                ---------------------
                    Robert E. Aikman
  
                /s/ ALLEN FINKELSON                       Director                    August 28, 1998
                ---------------------
                    Allen Finkelson
  
                /s/ ANTHONY V. DUB                        Director                    August 28, 1998
                ---------------------
                    Anthony V. Dub
  8
  /s/ BEN A. GUILL                           Director                   August 28, 1998
               ----------------------
                      Ben A. Guill
  
               /s/ JONATHAN S. LINKER                        Director                   August 28, 1998
               ----------------------
                   Jonathan S. Linker
  
                /s/ THOMAS W. STOELK            Senior Vice President - Finance and     August 28, 1998
               ----------------------                     Administration
                    Thomas W. Stoelk               (Principal Financial Officer)      
                                                   
  
                /s/ GEOFFREY T. DOKE          Vice President - Controller (Principal    August 28, 1998
               ----------------------                  Accounting Officer)
                    Geoffrey T. Doke
  9
  
                                    EXHIBIT INDEX
  Exhibit                             Description of Exhibit
  -------                             ----------------------
  3.1      --        Certificate of Amendment to Certificate of Incorporation of
                     the Company dated August 25, 1998
  
  4.1      --        Second Amended and Restated 1996 Stock Purchase and Option
                     Plan for Key Employees of Domain Energy Corporation and
                     Affiliates
  
  4.2      --        Domain Energy Corporation 1997 Stock Option Plan for Nonemployee Directors
  
  5.1      --        Opinion of Vinson & Elkins L.L.P.
  
  23.1     --        Consent of Arthur Andersen LLP
  
  23.2     --        Consent of Vinson & Elkins L.L.P. (included in the opinion filed
                     as Exhibit 5.1 hereto)
  
  24.1     --        Powers of Attorney (included in the signature pages hereto)