Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness
文献类型：期刊论文
| 作者 | Zeng, Xiaoyu1; Wei, Juncheng2; Li, Shuai3,4; Guo, Yujin5,6,7 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2019 |
| 卷号 | 276期号:1页码:183-230 |
| 关键词 | Ground states Constraint minimizers Symmetry breaking Local uniqueness |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2018.09.015 |
| 英文摘要 | We study ground states of two-component Bose-Einstein condensates (BEG) with trapping potentials in R-2, where the intraspecies interaction (-a(1), -a(2)) and the interspecies interaction -beta are both attractive, i.e, a(1), a(2) and beta are all positive. The existence and non-existence of ground states are classified completely by investigating equivalently the associated L-2-critical constraint variational problem. The uniqueness and symmetry-breaking of ground states are also analyzed under different types of trapping potentials as beta NE arrow beta* = a* + root(a* - a(1))(a* - a(2)), where 0 < a(i) < a* := parallel to w parallel to(2)(2) (i = 1, 2) is fixed and w is the unique positive solution of Delta w - w + w(3) = 0 in R-2. The semi-trivial limit behavior of ground states is tackled in the companion paper [12]. (C) 2018 Elsevier Inc. All rights reserved. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATIONS ; GROSS-PITAEVSKII EQUATIONS ; POSITIVE SOLUTIONS ; SYMMETRY-BREAKING ; SPIKES |
| 资助项目 | NSFC[11501555] ; NSFC[11871387] ; NSERC of Canada |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000452250100006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 资助机构 | NSFC ; NSFC ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; NSERC of Canada ; NSERC of Canada ; NSFC ; NSFC ; NSERC of Canada ; NSERC of Canada |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13564]  |
| 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.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada 3.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 4.Huazhong Agr Univ, Coll Sci, Wuhan 430070, Hubei, Peoples R China 5.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 6.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430070, Hubei, Peoples R China 7.Cent China Normal Univ, Sch Math & Stat, Wuhan 430070, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, Xiaoyu,Wei, Juncheng,Li, Shuai,et al. Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2019,276(1):183-230. |
| APA | Zeng, Xiaoyu,Wei, Juncheng,Li, Shuai,&Guo, Yujin.(2019).Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness.JOURNAL OF FUNCTIONAL ANALYSIS,276(1),183-230. |
| MLA | Zeng, Xiaoyu,et al."Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness".JOURNAL OF FUNCTIONAL ANALYSIS 276.1(2019):183-230. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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