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.
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页数：9
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