Infinitely many solutions for problems involving p(x)-Laplacian and p(x)-biharmonic operators

被引：6

作者：

Sahbani, Abdelhakim ^{[1
]}

机构：

[1] Univ Tunis El Manart, Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 12期

关键词：

p(x)-biharmonic operator; p(x)-Laplacian operator; Z(2)-mountain pass theorem; generalized Sobolev space; NONTRIVIAL SOLUTIONS; EXISTENCE; FUNCTIONALS; EQUATION;

D O I：

10.1080/17476933.2023.2287007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study by using variational methods, mountain pass theorem, Z(2)-mountain pass theorem combined with the theory of the generalized Lebesgue Sobolev spaces, the existence and multiplicity of solutions for problems involving p(x)-Laplacian and p(x)-biharmonic operators with Hardy-type term.

引用

页码：2138 / 2151

页数：14

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