Multiple solutions for nonlocal elliptic problems driven by p(x)-biharmonic operator

被引：7

作者：

Liao, Fang-Fang ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Moradi, Shahin ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 04期

关键词：

p(x)-biharmonic operator; nonlocal elliptic problem; three solutions; variational methods; BOUNDARY-VALUE PROBLEM; VARIABLE EXPONENT; 4TH-ORDER; EXISTENCE; FUNCTIONALS;

D O I：

10.3934/math.2021246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of at least three distinct weak solutions for nonlocal elliptic problems involving p(x)-biharmonic operator. The results are obtained by means of variational methods. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.

引用

页码：4156 / 4172

页数：17

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