Structure of positive solutions to a Schrodinger system
文献类型：期刊论文
| 作者 | Zhang, Zhitao1,2 ; Wang, Wei1,2
|
| 刊名 | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
 |
| 出版日期 | 2017-03-01 |
| 卷号 | 19期号:1页码:877-887 |
| 关键词 | Coupled nonlinear Schrodinger equation existence and uniqueness of positive solution synchronized solution |
| ISSN号 | 1661-7738 |
| DOI | 10.1007/s11784-016-0383-z |
| 英文摘要 | The paper is concerned with the existence and uniqueness of positive solutions of the coupled nonlinear Schrodinger system arising in nonlinear optics and in Hartree-Fock theory for a double condensate {-Delta u + mu(1)u(3) = lambda u + beta uv(2) in Omega, -Delta v + mu(2)v(3) = lambda v + mu u(2)v in Omega, u, v > 0 in Omega, u, v = 0 on partial derivative Omega, on the range of. and the coupling constant beta, where Omega subset of R-N (N >= 1) is a bounded smooth domain, lambda > 0 and 0 < mu(1) <= mu(2). Under some conditions, we obtain some interesting solution structure theorems in the beta lambda-plane. Especially we obtain interesting uniqueness results via synchronized solution techniques. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000398472200038 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24988]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhitao,Wang, Wei. Structure of positive solutions to a Schrodinger system[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2017,19(1):877-887. |
| APA | Zhang, Zhitao,&Wang, Wei.(2017).Structure of positive solutions to a Schrodinger system.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,19(1),877-887. |
| MLA | Zhang, Zhitao,et al."Structure of positive solutions to a Schrodinger system".JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 19.1(2017):877-887. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。