Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity

被引：0

作者：

Yuan, Ziqing ^{[1
]}

机构：

[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

基金：

中国国家自然科学基金;

关键词：

biharmonic Kirchhoff equation; critical condition; nonsmooth analysis; variational method; 4TH-ORDER ELLIPTIC-EQUATIONS; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS;

D O I：

10.1002/mma.8645

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the existence and concentration of positive solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity. The proof relies on variational method, truncated methods, and nonsmooth critical points theory. Some related results are improved.

引用

页码：2288 / 2304

页数：17

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