Existence results of nontrivial solutions for a new p(x)-biharmonic problem with weight function

被引：10

作者：

Guo, Wei ^{[1
]}

Yang, Jinfu ^{[1
]}

Zhang, Jiafeng ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

基金：

中国国家自然科学基金;

关键词：

nontrivial solutions; p(x)-biharmonic problem; mountain pass theorem; Ekeland's variational principle; variable exponent; KIRCHHOFF-TYPE PROBLEMS; P(X)-LAPLACIAN PROBLEMS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; VARIABLE EXPONENT;

D O I：

10.3934/math.2022473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of p(x)-biharmonic problems with negative nonlocal terms and weight function. Using the mountain pass theorem and the Ekeland's variational principle, at least three solutions are obtained. We also give some comments on the existence of infinite many solutions for our problem when the nonlinear term is a general function.

引用

页码：8491 / 8509

页数：19

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