Multiple solutions for a semiclassical Schrodinger equation

被引：11
|
作者：
Zhang, Jian [1 ]
Zhao, Fukun [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期
关键词：
Nonlinear Schrodinger equation; Variational method; Strongly indefinite functionals; ELLIPTIC PROBLEMS; BOUND-STATES; EXISTENCE; NUMBER;
D O I：
10.1016/j.na.2011.09.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the semiclassical nonlinear Schrodinger equation {-epsilon(2)Delta u + V(x)u = f(x, u), x epsilon R-N u(x) -> 0 as vertical bar x vertical bar -> infinity. where epsilon > 0 is a small parameter. Under certain hypotheses on V and a general spectral assumption, the existence and multiplicity of semiclassical solutions are obtained for asymptotically linear nonlinearity via variational methods. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：1834 / 1842
页数：9
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