Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings

doi:10.1016/j.jmaa.2019.02.045

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	Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings
	Luo, Haijun 1; Zhang, Zhitao2,3
	2019-07-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	475 期号:1 页码:350-363
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.
关键词	Nonlinear Schrodinger equations Bound state solution Perturbation method Pohozaev-Nehari identity
DOI	10.1016/j.jmaa.2019.02.045
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000464490800018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34494
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.