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

Khaled Kefi; Khaled Kefi

doi:10.3934/math.2024863

AIMS Mathematics

2024, Volume 9, Issue 7: 17758-17773. doi: 10.3934/math.2024863

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Research article

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

Khaled Kefi ^,

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

Received: 18 March 2024 Revised: 15 May 2024 Accepted: 20 May 2024 Published: 23 May 2024
MSC : 35J35, 35J60, 35G30

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.
- critical points theorem,
- fourth order Leray-Lions operator,
- Hardy potential,
- variable exponent
Citation: Khaled Kefi. Existence and multiplicity of triple weak solutions for a nonlinear elliptic problem with fourth-order operator and Hardy potential[J]. AIMS Mathematics, 2024, 9(7): 17758-17773. doi: 10.3934/math.2024863

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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.

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