Existence and multiplicity results for a coupled system of Kirchhoff type equations

被引：0

作者：

Lu, Dengfeng ^{[1
]}

Xiao, Jianhai ^{[1
]}

机构：

[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 06期

基金：

湖北省教育厅重点项目;

关键词：

Kirchhoff type equation; ground state solution; mountain-pass theorem; HIGH-ENERGY SOLUTIONS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a coupled system of Kirchhoff type equations in R-3. Under suitable assumptions on the potential functions V (x) and W (x), we obtain the existence and multiplicity of nontrivial solutions when the parameter lambda is sufficiently large. The method combines the Nehari manifold and the mountain-pass theorem.

引用

页码：1 / 10

页数：10

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