Existence results for $ p(x) $-biharmonic problems involving a singular and a Hardy type nonlinearities-Reference-Cited by-同舟云学术

Existence results for $ p(x) $-biharmonic problems involving a singular and a Hardy type nonlinearities

Published:2023 Issue:12 Volume:8 Page:29892-29909
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ghanmi Abdeljabbar¹,Sahbani Abdelhakim²

Affiliation:

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

2. Department of Mathematics, Faculty of Sciences, Tunis El Manar University, Tunis, Tunisia

Abstract

<abstract><p>In this paper, we proved the existence and the multiplicity of solutions for some $ p(x) $-biharmonic problems involving singular nonlinearity and a Hardy potential. More precisely, by the use of the min-max method, we proved the existence of a nontrivial solution for such a problem. Next, diversions of the mountain pass theorem were used to prove the multiplicity of solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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