EXISTENCE AND CONCENTRATION OF SEMICLASSICAL STATES FOR NONLINEAR SCHRODINGER EQUATIONS

被引：0
|
作者：
Chen, Shaowei [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Semilinear Schrodinger equation; variational reduction method; STANDING WAVES; PERTURBATION;
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 semilinear Schrodinger equation -epsilon(2)Delta u + u + V(x)u = f(u), u is an element of H-1(R-N), where N >= 2 and epsilon > 0 is a small parameter. The function V is bounded in R-N, inf(RN) (1 + V(x)) > 0 and it has a possibly degenerate isolated critical point. Under some conditions on f, we prove that as epsilon -> 0, this equation has a solution which concentrates at the critical point of V
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页数：36
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