Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Jia, Huifang1; Luo, Xiao3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2021-03-05 |
| 卷号 | 276页码:228-263 |
| 关键词 | Schrodinger equation vander Waals type potentials Normalized solutions Stability Variational methods |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2020.12.016 |
| 英文摘要 | In this paper, we focus on the standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials, that is, two-body potentials with different width. This leads to the study of the following nonlocal elliptic equation -Delta u = lambda u + mu(vertical bar x vertical bar(-alpha) * vertical bar u vertical bar(2))u+(vertical bar x vertical bar(-beta) * vertical bar u vertical bar(2))u, x is an element of R-N under the normalized constraint integral(RN) u(2) = c > 0, where N= 3, mu > 0, alpha, beta is an element of (0, N), and the frequency lambda is an element of R is unknown and appears as Lagrange multiplier. Compared with the well studied case alpha = beta, the solution set of the above problem with different width of two body potentials alpha not equal beta is much richer. Under different assumptions on c, alpha and beta, we prove several existence, multiplicity and asymptotic behavior of solutions to the above problem. In addition, the stability of the corresponding standing waves for the related time-dependent problem is discussed. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[11771469] ; NNSF of China[12001126] ; NNSF of China[11771166] ; NNSF of China[11901147] ; Chinese Academy of Sciences[QYZDJSSW-SYS021] ; NPSF of China[2019M662833] ; Fundamental Research Funds for the Central Universities of China[JZ2019HGBZ0156] ; Fundamental Research Funds for the Central Universities of China[JZ2020HGTB0030] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000606802700004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57985]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Jia, Huifang |
| 作者单位 | 1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Jia, Huifang,Luo, Xiao. Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,276:228-263. |
| APA | Cao, Daomin,Jia, Huifang,&Luo, Xiao.(2021).Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,276,228-263. |
| MLA | Cao, Daomin,et al."Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 276(2021):228-263. |
入库方式： OAI收割
来源：数学与系统科学研究院
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