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Research Article | Open Access

Existence of multiple solutions for a singular p ( ⋅ )-biharmonic problem with variable exponents

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

In this work, we study a multiplicity result related to a p ( τ )-Biharmonic equation involving singular and Hardy nonlinearities. More precisely, we use the variational method to develop the analysis of the fibering map in the Nehari manifold sets to prove the existence of two nontrivial solutions for such a problem.

Keywords

p(τ)-biharmonic problemvariational methodsingular equationvariable exponents
CLC number: 35G30, 35J60, 35J20, 35J35

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3779-3796
DOI: 10.3934/math.2025175

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Cite this article:
Alsaedi R. Existence of multiple solutions for a singular p ( ⋅ )-biharmonic problem with variable exponents. AIMS Mathematics, 2025, 10(2): 3779-3796. https://doi.org/10.3934/math.2025175

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Received: 28 November 2024
Revised: 12 February 2025
Accepted: 14 February 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)