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Research Article | Open Access

Existence and multiplicity of triple weak solutions for a nonlinear elliptic problem with fourth-order operator and Hardy potential

Faculty of Computing and Information Technology, Northern Border University, Rafha, Saudi Arabia
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Abstract

This study investigates the existence of triple weak solutions for a system of nonlinear elliptic equations with a fourth-order operator. The problem arises in the mathematical modeling of complex physical phenomena.

Keywords

critical points theoremfourth order Leray-Lions operatorHardy potentialvariable exponent
CLC number: 35J35, 35J60, 35G30

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 17758-17773
DOI: 10.3934/math.2024863

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Cite this article:
Kefi K. Existence and multiplicity of triple weak solutions for a nonlinear elliptic problem with fourth-order operator and Hardy potential. AIMS Mathematics, 2024, 9(7): 17758-17773. https://doi.org/10.3934/math.2024863

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Received: 18 March 2024
Revised: 15 May 2024
Accepted: 20 May 2024
Published: 15 July 2024
©2024 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)