MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Wang, Ruimeng ^{[1
]}

Wang, Kun ^{[1
]}

Teng, Kaimin ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

基金：

山西省青年科学基金; 中国国家自然科学基金;

关键词：

Quasilinear Schrodinger equation; symmetric mountain pass theorem; Cerami condition; SCHRODINGER-EQUATION; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; SCALAR FIELD; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the quasilinear elliptic equation -Delta(p)u - (Delta(p)u(2))u + V(x)vertical bar u vertical bar(p-2)u = g(x, u), x is an element of R-N, where the potential V (x) and the nonlinearity g (x, u) are allowed to be sign-changing. Under some suitable assumptions on V and g, we obtain the multiplicity of solutions by using minimax methods.

引用

页数：19

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