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

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

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, diversion...

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Bibliographic Details
Main Authors: Abdeljabbar Ghanmi, Abdelhakim Sahbani
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
$ p(x) $-biharmonic operator
singular equations
variational methods
mountain pass theorem
existence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231528?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231528?viewType=HTML

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