Existence and multiplicity of solutions for a non-periodic Schrodinger equation

doi:10.1016/j.na.2007.10.024

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	Existence and multiplicity of solutions for a non-periodic Schrodinger equation
	Zhao, Fukun 1,2; Zhao, Leiga 2; Ding, Yanheng 2
	2008-12-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	69 期号:11 页码:3671-3678
摘要	This paper is concerned with the non-periodic Schrodinger equation {-Delta u + V(x)u = f(x, u), x is an element of R-N u(x) -> 0 as vertical bar x vertical bar -> infinity. Under a general spectral assumption, the existence and multiplicity of solutions are obtained for asymptotically linear nonlinearity via variational methods. (C) 2007 Elsevier Ltd. All rights reserved.
关键词	Nonlinear Schrodinger equations Variational methods Asymptotically linear nonlinearities Strongly indefinite functionals
DOI	10.1016/j.na.2007.10.024
语种	英语
资助项目	NSFC[10561011] ; NSFY of Yunnan Province, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000261319500001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6860
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Fukun
作者单位	1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Fukun,Zhao, Leiga,Ding, Yanheng. Existence and multiplicity of solutions for a non-periodic Schrodinger equation[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,69(11):3671-3678.
APA	Zhao, Fukun,Zhao, Leiga,&Ding, Yanheng.(2008).Existence and multiplicity of solutions for a non-periodic Schrodinger equation.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,69(11),3671-3678.
MLA	Zhao, Fukun,et al."Existence and multiplicity of solutions for a non-periodic Schrodinger equation".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69.11(2008):3671-3678.