Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings | |
Luo, Haijun1; Zhang, Zhitao2,3 | |
刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
2019-07-01 | |
卷号 | 475期号:1页码:350-363 |
关键词 | Nonlinear Schrodinger equations Bound state solution Perturbation method Pohozaev-Nehari identity |
ISSN号 | 0022-247X |
DOI | 10.1016/j.jmaa.2019.02.045 |
英文摘要 | We study the Schrodinger systems with linear and nonlinear coupling terms (doubly coupled nonlinear Schrodinger system for short) which arise naturally in nonlinear optics, and in the Hartree-Fock theory for Bose-Einstein condensates, among other physical problems. First, for small linear coupling constant, we get existence of a nontrivial bound state solution to the system via perturbation method, furthermore, we prove each component of the bound state solution is nonnegative by energy estimate. Second, we establish a version of Pohozaev-Nehari identity and prove a nonexistence result for the more general system when the spatial dimension N >= 4. (C) 2019 Elsevier Inc. All rights reserved. |
资助项目 | Fundamental Research Funds for the Central Universities[531107051206] ; National Natural Science Foundation of China[11771428] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000464490800018 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34493] |
专题 | 数学所 |
通讯作者 | Zhang, Zhitao |
作者单位 | 1.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Luo, Haijun,Zhang, Zhitao. Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2019,475(1):350-363. |
APA | Luo, Haijun,&Zhang, Zhitao.(2019).Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,475(1),350-363. |
MLA | Luo, Haijun,et al."Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 475.1(2019):350-363. |
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