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.

引用

页码：1834 / 1842

页数：9

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