Existence of solutions for a Schrodinger system with linear and nonlinear couplings

doi:10.1063/1.4960046

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	Existence of solutions for a Schrodinger system with linear and nonlinear couplings
	Li, Kui 1; Zhang, Zhitao2,3,4
	2016-08-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	57 期号:8 页码:17
摘要	We study an important system of Schrodinger equations with linear and nonlinear couplings arising from Bose-Einstein condensates. We use the Nehari manifold to prove the existence of a ground state solution; moreover, we give the sign of the solutions depending on linear coupling; by using index theory and Nehari manifold, we prove that there exist infinitely many positive bound state solutions. Published by AIP Publishing.
DOI	10.1063/1.4960046
语种	英语
资助项目	National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000383917300004
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23624
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Kui,Zhang, Zhitao. Existence of solutions for a Schrodinger system with linear and nonlinear couplings[J]. JOURNAL OF MATHEMATICAL PHYSICS,2016,57(8):17.
APA	Li, Kui,&Zhang, Zhitao.(2016).Existence of solutions for a Schrodinger system with linear and nonlinear couplings.JOURNAL OF MATHEMATICAL PHYSICS,57(8),17.
MLA	Li, Kui,et al."Existence of solutions for a Schrodinger system with linear and nonlinear couplings".JOURNAL OF MATHEMATICAL PHYSICS 57.8(2016):17.