LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES

doi:10.1137/16M1100290

	LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES
	Guo, Yujin 3; Lin, Changshou 2; Wei, Juncheng 1
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2017
卷号	49 期号:5 页码:3671-3715
关键词	Bose-einstein Condensation Spike Profiles Local Uniqueness Pohozaev Identity
ISSN号	0036-1410
DOI	10.1137/16M1100290
文献子类	Article
英文摘要	We consider ground states of two-dimensional Bose-Einstein condensates in a trap with attractive interactions, which can be described equivalently by positive minimizers of the L-2 -critical constraint Gross-Pitaevskii energy functional. It is known that ground states exist if and only if a < a* := \|\|omega\|\|(2)(2), where a denotes the interaction strength and omega is the unique positive solution of Delta omega - omega + omega(3) - 0 in R-2. In this paper, we prove the local uniqueness and refined spike profiles of ground states as a NE arrow a*, provided that the trapping potential h(x) is homogeneous and H(y) = integral R-2 h(x + y)omega(2)(x)dx admits a unique and nondegenerate critical point.
WOS关键词	NONLINEAR SCHRODINGER-EQUATIONS ; POSITIVE BOUND-STATES ; STABILITY ; SYMMETRY ; COLLAPSE ; RN
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000416766900012
资助机构	NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394) ; NSFC(11322104 ; NSFC(11322104 ; NSERC of Canada ; NSERC of Canada ; 11671394) ; 11671394)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12736]
专题	中国科学院武汉物理与数学研究所
通讯作者	Guo, Yujin
作者单位	1.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 2.Natl Taiwan Univ, Taida Inst Math Sci, Taipei 10617, Taiwan 3.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Guo, Yujin,Lin, Changshou,Wei, Juncheng. LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(5):3671-3715.
APA	Guo, Yujin,Lin, Changshou,&Wei, Juncheng.(2017).LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(5),3671-3715.
MLA	Guo, Yujin,et al."LOCAL UNIQUENESS AND REFINED SPIKE PROFILES OF GROUND STATES FOR TWO-DIMENSIONAL ATTRACTIVE BOSE-EINSTEIN CONDENSATES".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.5(2017):3671-3715.