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Sub-Super Solutions Method Combined with Schauder’s Fixed Point for Existence of Positive Weak Solutions for Anisotropic Non-Local Elliptic Systems

Author

Listed:
  • Rafik Guefaifia

    (Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah 51452, Saudi Arabia)

  • Gelson Concei¸cao G. dos Santos

    (Faculty of Mathematics, Federal University of Pará, Belém 66075110, Brazil)

  • Tahar Bouali

    (Department of Mathematics, College of Science, Jazen University, Jazen 277, Saudi Arabia
    Department of Mathematics and Computer Science, Larbi Tebessi University, Tebessa 12002, Algeria)

  • Rashid Jan

    (Department of Mathematics, University of Swabi, Swabi 23561, Pakistan)

  • Salah Boulaaras

    (Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah 51452, Saudi Arabia)

  • Asma Alharbi

    (Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah 51452, Saudi Arabia)

Abstract

In this research, we investigate the presence of weak positive solutions for a family of anisotropic non-local elliptic systems in bounded domains using the sub-super solutions approach in conjunction with Schauder’s fixed point.

Suggested Citation

  • Rafik Guefaifia & Gelson Concei¸cao G. dos Santos & Tahar Bouali & Rashid Jan & Salah Boulaaras & Asma Alharbi, 2022. "Sub-Super Solutions Method Combined with Schauder’s Fixed Point for Existence of Positive Weak Solutions for Anisotropic Non-Local Elliptic Systems," Mathematics, MDPI, vol. 10(23), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4479-:d:985931
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