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A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential

文献类型：期刊论文

作者Zhou, Huan-Song2,3; Guo, Helin1,4
刊名APPLIED MATHEMATICS LETTERS
出版日期2019
卷号87页码:35-41
关键词Variational method Minimization problem Elliptic equation Energy estimates Ellipse-shaped potential
ISSN号0893-9659
DOI10.1016/j.aml.2018,07.023
英文摘要We consider a minimization problem for the variational functional associated with a Gross Pitaevskii equation arising in the study of an attractive Bose-Einstein condensate. Under an ellipse-shaped trapping potential, that is, the bottom of the trapping potential is an ellipse, we prove that any minimizer of the minimization problem blows up at one of the endpoints of the major axis of the ellipse if the parameter associated to the attractive interaction strength approaches a critical value. (C) 2018 Elsevier Ltd. All rights reserved.
WOS关键词GROSS-PITAEVSKII EQUATIONS ; EXISTENCE
资助项目NSFC[11471331] ; NSFC[11501555]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000447115700006
出版者PERGAMON-ELSEVIER SCIENCE LTD
资助机构NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC
源URL[http://ir.wipm.ac.cn/handle/112942/13217]  
专题中国科学院武汉物理与数学研究所
通讯作者Zhou, Huan-Song
作者单位1.Heze Univ, Heze 274015, Peoples R China
2.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China
3.Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Hubei, Peoples R China
4.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China
推荐引用方式
GB/T 7714		 Zhou, Huan-Song,Guo, Helin. A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential[J]. APPLIED MATHEMATICS LETTERS,2019,87:35-41.
APA Zhou, Huan-Song,&Guo, Helin.(2019).A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential.APPLIED MATHEMATICS LETTERS,87,35-41.
MLA Zhou, Huan-Song,et al."A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential".APPLIED MATHEMATICS LETTERS 87(2019):35-41.

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来源：武汉物理与数学研究所

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