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Research Article | Open Access

Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight

K. Kefi1( ), Jian Liu2
Faculty of Computing and Information Technology, Northern Border University, Rafha, Saudi Arabia
School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China
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Abstract

Existence and multiplicity of three weak solutions for a Leray-Lions p(x)-biharmonic problem involving Hardy potential and indefinite weight were proved. Our main tools combined variational methods and some critical theorems.

Keywords

critical theoremLeray-Lions operatorHardy potentialvariable exponent
CLC number: 35J20, 35J35, 35J60, 35G30, 46E35

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22697-22711
DOI: 10.3934/math.20241106

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Cite this article:
Kefi K, Liu J. Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight. AIMS Mathematics, 2024, 9(8): 22697-22711. https://doi.org/10.3934/math.20241106

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Received: 14 April 2024
Revised: 10 July 2024
Accepted: 18 July 2024
Published: 15 August 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)