On multiple solutions for an elliptic problem involving Leray-Lions operator, Hardy potential and indefinite weight with mixed boundary conditions

被引：0

作者：

Kefi, Khaled ^{[1
]}

Al-Shomrani, Mohammed M. ^{[2
]}

机构：

[1] Northern Border Univ, Ctr Sci Res & Entrepreneurship, Ar Ar 73213, Saudi Arabia

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 03期

关键词：

two parameters; elliptic equations; mixed boundary conditions; p(x)-Laplacian; Hardy term; WEAK SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.3934/math.2025251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concentrates on establishing the existence of multiple weak solutions for a specific type of elliptic equations that involve a Hardy potential and have mixed boundary conditions. The main goal of the study is to establish an existence result of at least three different weak solutions thanks to variational techniques, Hardy inequality, and a particular theorem called the Bonanno- Marano type three critical points theorem.

引用

页码：5444 / 5455

页数：12

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