CRITICAL QUASILINEAR SCHRODINGER EQUATION WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Wang, Li-Li ^{[1
,2
]}

Han, Zhi-Qing ^{[2
]}

机构：

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

[2] Tonghua Normal Uninvers, Sch Math, Tonghua 134002, Jilin, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Quasilinear Schrodinger equation; critical growth; sign-changing potential; mountain pass theorem; (PS)(c) sequence; SOLITON-SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of nontrivial solutions for a class of quasi linear Schrodinger equations in R-N with critical nonlinearity, where the potential is allowed to change signs. The quasilinear equations are reduced to semilinear equations by using a change of variable. The geometric hypotheses of a mountain pass theorem without compactness conditions are satisfied so that the equation possesses a nontrivial solution.

引用

页数：11

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