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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

Rafik Guefaifia, Gelson Concei¸cao G. dos Santos, Tahar Bouali, Rashid Jan, Salah Boulaaras () and Asma Alharbi
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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
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

Mathematics, 2022, vol. 10, issue 23, 1-10

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.

Keywords: anisotropic non-local elliptic systems; existence; positive solutions; sub-supersolution; Schauder’s fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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