Existence of Multiple Solutions for a Quasilinear Elliptic System Involving Sign-Changing Weight Functions and Variable Exponent

被引：0
作者：
Ying Chu
Libo Cheng
Jiahui Sun
Yi Cheng
机构：
[1] Changchun University of Science and Technology,School of Mathematics and Statistics
[2] Aviation University of Air Force,Department of Foundation
来源：
Mediterranean Journal of Mathematics | 2022年 / 19卷
关键词：
Quasilinear elliptic system; sign-changing weight functions; variable exponent; nontrivial solution; Nehari manifold; 35J61; 35J50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main purpose of this paper is to establish the existence of multiple solutions for a quasilinear elliptic system involving sign-changing weight functions and variable exponent. It is shown, by variational method, that under certain conditions, the system has at least two nontrivial nonnegative solutions.
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