Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials

doi:10.1016/j.jfa.2007.07.005

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	Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials
	Ding, Yanheng ; Wei, Juncheng
	2007-10-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	251 期号:2 页码:546-572
摘要	We establish the existence and multiplicity of semiclassical bound states of the following nonlinear Schrodinger equation: {-epsilon(2)Delta u+V(x)u=g(x,u) for x is an element of R-N, u(x)-> 0 as vertical bar x vertical bar ->infinity where V changes sign and g is superlinear with critical or supercritical growth as vertical bar u vertical bar ->infinity. (C) 2007 Elsevier Inc. All rights reserved.
关键词	nonlinear Schrodinger equation sign-changing potential superlinear supercritical growth
DOI	10.1016/j.jfa.2007.07.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000250014400006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5123
专题	中国科学院数学与系统科学研究院
通讯作者	Wei, Juncheng
作者单位	1.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Wei, Juncheng. Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2007,251(2):546-572.
APA	Ding, Yanheng,&Wei, Juncheng.(2007).Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials.JOURNAL OF FUNCTIONAL ANALYSIS,251(2),546-572.
MLA	Ding, Yanheng,et al."Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials".JOURNAL OF FUNCTIONAL ANALYSIS 251.2(2007):546-572.