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Existence of Positive Solutions for a Class of Quasilinear Singular Elliptic Systems Involving Caffarelli-Kohn-Nirenberg Exponent with Sign-Changing Weight Functions

Author

Listed:
  • Salah Boulaaras

    (Qassim University
    University of Oran 1)

  • Rafik Guefaifia

    (Larbi Tebessi University)

  • Tahar Bouali

    (Larbi Tebessi University)

Abstract

The paper deals with the existence of weak positive solutions for a new class of quasilinear singular elliptic systems involving critical Caffarelli–Kohn–Nirenberg exponent with sign-changing weight functions using the method of sub-super solutions. Our results are natural extensions from the previous ones in [3].

Suggested Citation

  • Salah Boulaaras & Rafik Guefaifia & Tahar Bouali, 2018. "Existence of Positive Solutions for a Class of Quasilinear Singular Elliptic Systems Involving Caffarelli-Kohn-Nirenberg Exponent with Sign-Changing Weight Functions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(4), pages 705-715, December.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:4:d:10.1007_s13226-018-0296-1
    DOI: 10.1007/s13226-018-0296-1
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