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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, Asma Alharbi

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Published: Nov 27, 2022

DOI: 10.3390/math10234479

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Source 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.

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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 — Mathematical Frontier Network