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

被引：2

作者：

Guefaifia, Rafik ^{[1
]}

dos Santos, Gelson Concei Cao G. ^{[2
]}

Bouali, Tahar ^{[3
,4
]}

Jan, Rashid ^{[5
]}

Boulaaras, Salah ^{[1
]}

Alharbi, Asma ^{[1
]}

机构：

[1] Qassim Univ, Coll Sci & Arts ArRass, Dept Math, Buraydah 51452, Saudi Arabia

[2] Fed Univ, Fac Math, BR-66075110 Belem, Brazil

[3] Jazen Univ, Coll Sci, Dept Math, Jazen 277, Saudi Arabia

[4] Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12002, Algeria

[5] Univ Swabi, Dept Math, Swabi 23561, Pakistan

来源：

MATHEMATICS | 2022年 / 10卷 / 23期

关键词：

anisotropic non-local elliptic systems; existence; positive solutions; sub-supersolution; Schauder's fixed point;

D O I：

10.3390/math10234479

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：10

共 7 条

[1] Existence of Positive Solutions for Non-Local Magnetic Fractional Systems
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[3] Existence of positive solutions of nonlocal p (x)-Kirchhoff hyperbolic systems via sub-super solutions concept
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[4] A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains
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[5] A new version of the sub-super solution method for non-local problem and existence of positive solution for the p-Kirchhoff system
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[6] A new version of the sub-super solution method for non-local problem and existence of positive solution for the p-Kirchhoff system
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (03):
[7] EXISTENCE OF SOLUTIONS FOR NON-LOCAL ELLIPTIC SYSTEMS WITH HARDY-LITTLEWOOD-SOBOLEV CRITICAL NONLINEARITIES
Yang, Yang
Hong, Qian Yu
Shang, Xudong
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