Structure of positive solutions to a Schrodinger system

doi:10.1007/s11784-016-0383-z

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	Structure of positive solutions to a Schrodinger system
	Zhang, Zhitao1,2 ; Wang, Wei 1,2
	2017-03-01
发表期刊	JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
ISSN	1661-7738
卷号	19 期号:1 页码:877-887
摘要	The paper is concerned with the existence and uniqueness of positive solutions of the coupled nonlinear Schrodinger system arising in nonlinear optics and in Hartree-Fock theory for a double condensate {-Delta u + mu(1)u(3) = lambda u + beta uv(2) in Omega, -Delta v + mu(2)v(3) = lambda v + mu u(2)v in Omega, u, v > 0 in Omega, u, v = 0 on partial derivative Omega, on the range of. and the coupling constant beta, where Omega subset of R-N (N >= 1) is a bounded smooth domain, lambda > 0 and 0 < mu(1) <= mu(2). Under some conditions, we obtain some interesting solution structure theorems in the beta lambda-plane. Especially we obtain interesting uniqueness results via synchronized solution techniques.
关键词	Coupled nonlinear Schrodinger equation existence and uniqueness of positive solution synchronized solution
DOI	10.1007/s11784-016-0383-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000398472200038
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24989
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhitao,Wang, Wei. Structure of positive solutions to a Schrodinger system[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2017,19(1):877-887.
APA	Zhang, Zhitao,&Wang, Wei.(2017).Structure of positive solutions to a Schrodinger system.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,19(1),877-887.
MLA	Zhang, Zhitao,et al."Structure of positive solutions to a Schrodinger system".JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 19.1(2017):877-887.