CONSTRAINT MINIMIZERS OF PERTURBED GROSS-PITAEVSKII ENERGY FUNCTIONALS IN R-N
文献类型：期刊论文
| 作者 | Zhu, Xincai1; Yan, Jingjing2; Li, Shuai3 |
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
 |
| 出版日期 | 2019 |
| 卷号 | 18期号:1页码:65-81 |
| 关键词 | Gross-Pitaevskii functional subcritical perturbation minimizers energy estimate mass concentration |
| ISSN号 | 1534-0392 |
| DOI | 10.3934/cpaa.2019005 |
| 英文摘要 | This paper is concerned with constraint minimizers of an L-2 - critical minimization problem (1) in R-N (N >= 1) under an L-2 - subcritical perturbation. We prove that the problem admits minimizers with mass rho(N/2) if and only if 0 <= rho < rho* := parallel to Q parallel to(4/N)(2) for b >= 0 and 0 < rho <= rho* for b < 0, where the constant b comes from the coefficient of the perturbation term, and Q is the unique positive radically symmetric solution of Delta u(x) - u(x) + u(1+4N)(x) = 0 in R-N. Furthermore, we analyze rigorously the concentration behavior of minimizers as rho NE arrow rho* for the case where b > 0, which shows that the concentration rates are determined by the subcritical perturbation, instead of the local profiles of the potential V(x). |
| WOS关键词 | CONCENTRATION-COMPACTNESS PRINCIPLE ; NONLINEAR SCHRODINGER-EQUATIONS ; POSITIVE SOLUTIONS ; POTENTIALS ; CALCULUS ; SYMMETRY ; VORTEX ; STATES ; R(N) |
| 资助项目 | NSFC[11671394] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000446348800005 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 资助机构 | NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13274]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Zhu, Xincai |
| 作者单位 | 1.Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China 3.Huazhong Agr Univ, Coll Sci, Wuhan 430070, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Xincai,Yan, Jingjing,Li, Shuai. CONSTRAINT MINIMIZERS OF PERTURBED GROSS-PITAEVSKII ENERGY FUNCTIONALS IN R-N[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2019,18(1):65-81. |
| APA | Zhu, Xincai,Yan, Jingjing,&Li, Shuai.(2019).CONSTRAINT MINIMIZERS OF PERTURBED GROSS-PITAEVSKII ENERGY FUNCTIONALS IN R-N.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,18(1),65-81. |
| MLA | Zhu, Xincai,et al."CONSTRAINT MINIMIZERS OF PERTURBED GROSS-PITAEVSKII ENERGY FUNCTIONALS IN R-N".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 18.1(2019):65-81. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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