Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations

doi:10.1007/s00526-015-0930-2

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	Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations
	Cao, Daomin; Li, Shuanglong; Luo, Peng
	2015-12-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	54 期号:4 页码:4037-4063
摘要	We are concerned with the following nonlinear Schrodinger equation where, For small enough and a class of V(x), we show the uniqueness of positive multi-bump solutions concentrating at k different critical points of V(x) under certain assumptions on asymptotic behavior of V(x) and its first derivatives near those points. Especially, the degeneracy of critical points is allowed in this paper.
DOI	10.1007/s00526-015-0930-2
语种	英语
资助项目	Beijing Center for Mathematics and Information Interdisciplinary Sciences ; NSFC[11271354] ; NSFC[11331010] ; China Postdoctoral Science Foundation[2015M571144]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000365412700025
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21326
专题	应用数学研究所
通讯作者	Luo, Peng
作者单位	Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Li, Shuanglong,Luo, Peng. Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2015,54(4):4037-4063.
APA	Cao, Daomin,Li, Shuanglong,&Luo, Peng.(2015).Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,54(4),4037-4063.
MLA	Cao, Daomin,et al."Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 54.4(2015):4037-4063.