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

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

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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Veröffentlicht in:Mathematics (Basel) 2022-12, Vol.10 (23), p.4479
Hauptverfasser: Guefaifia, Rafik, dos Santos, Gelson Concei¸cao G., Bouali, Tahar, Jan, Rashid, Boulaaras, Salah, Alharbi, Asma
Format: Artikel
Sprache:eng
Schlagworte:
anisotropic non-local elliptic systems
Banach spaces
existence
Fixed point theory
Food science
Functions, Elliptic
Inequality
Mathematical research
Ordinary differential equations
Partial differential equations
positive solutions
Schauder’s fixed point
sub-supersolution
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Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10234479