A sub-super solution method to continuous weak solutions for a semilinear elliptic boundary value problems on bounded and unbounded domains-Reference-Cited by-同舟云学术

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

Published:2024 Issue:6 Volume:32 Page:3742-3757
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Ghanmi Abdeljabbar¹,Alzumi Hadeel Z.¹,Zeddini Noureddine²

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 21493, Saudi Arabia

2. Department of Mathematics, College of Science, Taibah University, Madinah, KSA

Abstract

<abstract><p>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 well-known 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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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