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.
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页数：11
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