A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains

被引：0

作者：

Ghanmi, Abdeljabbar ^{[1
]}

Alzumi, Hadeel Z. ^{[1
]}

Zeddini, Noureddine ^{[2
]}

机构：

[1] Univ Jeddah, Fac Sci, Dept Math & Stat, Jeddah 21493, Saudi Arabia

[2] Taibah Univ, Coll Sci, Dept Math, Madinah, Saudi Arabia

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 06期

关键词：

Green's function; elliptic systems; Schauder fixed point theorem; sub-supersolutions; method; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.3934/era.2024170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the wellknown Kato class to justify our existence results. The novelty of our study is that we consider either the bounded or the exterior domain; Also, the nonlinearities may be singular near the boundary. Some examples are presented to validate our main results.

引用

页码：3742 / 3757

页数：16

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