EXISTENCE OF SOLUTIONS TO QUASILINEAR SCHRODINGER EQUATIONS WITH INDEFINITE POTENTIAL

被引：0

作者：

Shen, Zupei ^{[1
]}

Han, Zhiqing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Quasilinear Schrodinger equation; local linking; fountain theorem; indefinite potential; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS;

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 existence and multiplicity of solutions of the quasilinear Schrodinger equation -u '' + V(x)u - ( broken vertical bar u broken vertical bar(2))'' u = f (u) on R, where the potential V allows sign changing and the nonlinearity satisfies conditions weaker than the classical Ambrosetti-Rabinowitz condition. By a local linking theorem and the fountain theorem, we obtain the existence and multiplicity of solutions for the equation.

引用

页数：9

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