Blow-up behavior of ground states for a nonlinear Schrodinger system with attractive and repulsive interactions

doi:10.1016/j.jde.2017.09.039

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	Blow-up behavior of ground states for a nonlinear Schrodinger system with attractive and repulsive interactions
	Guo, Yujin 1; Zeng, Xiaoyu 2; Zhou, Huan-Song 2
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2018-01-15
卷号	264 期号:2 页码:1411-1441
关键词	Ground States Constrained Minimization Problem Elliptic System Attractive/repulsive Interactions
DOI	10.1016/j.jde.2017.09.039
文献子类	Article
英文摘要	We consider a nonlinear Schrodinger system arising in a two-component Bose-Einstein condensate (BEC) with attractive intraspecies interactions and repulsive interspecies interactions in R-2. We get ground states of this system by solving a constrained minimization problem. For some kinds of trapping potentials, we prove that the minimization problem has a minimizer if and only if the attractive interaction strength a(i) (i = 1, 2) of each component of the BEC system is strictly less than a threshold a. Furthermore, as (a(1), a(2)) NE arrow (a, a*), the asymptotical behavior for the minimizers of the minimization problem is discussed. Our results show that each component of the BEC system concentrates at a global minimum of the associated trapping potential. (C) 2017 Elsevier Inc. All rights reserved.
WOS关键词	POSITIVE SOLUTIONS ; SYMMETRY-BREAKING ; EQUATIONS ; POTENTIALS ; UNIQUENESS ; SPIKES ; R(N) ; RN
WOS研究方向	Mathematics
语种	英语
WOS记录号	WOS:000415908100028
资助机构	NSFC(11471331 ; NSFC(11471331 ; 11501555 ; 11501555 ; 11671394) ; 11671394) ; NSFC(11471331 ; NSFC(11471331 ; 11501555 ; 11501555 ; 11671394) ; 11671394)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/11600]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 2.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Guo, Yujin,Zeng, Xiaoyu,Zhou, Huan-Song. Blow-up behavior of ground states for a nonlinear Schrodinger system with attractive and repulsive interactions[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(2):1411-1441.
APA	Guo, Yujin,Zeng, Xiaoyu,&Zhou, Huan-Song.(2018).Blow-up behavior of ground states for a nonlinear Schrodinger system with attractive and repulsive interactions.JOURNAL OF DIFFERENTIAL EQUATIONS,264(2),1411-1441.
MLA	Guo, Yujin,et al."Blow-up behavior of ground states for a nonlinear Schrodinger system with attractive and repulsive interactions".JOURNAL OF DIFFERENTIAL EQUATIONS 264.2(2018):1411-1441.