A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3

doi:10.3934/dcds.2016.36.851

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	A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3
	Li, Kui 1; Zhang, Zhitao2
	2016-02-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	36 期号:2 页码:851-860
摘要	We are concerned with the existence of positive solutions for a coupled Schrodinger system {-Delta u(1) + lambda(1)u(1) = mu(1)u(1)(3) + epsilon beta(x)u(1)u(2)(2) in R-3, -Delta u(2) + lambda(2)u(2) = mu(2)u(2)(3) + epsilon beta(x)u(1)(2)u(2) in R-3, -Delta u(2) + lambda(2)u(2) = mu(2)u(2)(3) + epsilon beta(x)u(1)(2)u(2) in R-3, u(1) > 0, u(2) > 0 u(1) is an element of H-1 (R-3), u(2) is an element of H-1 (R-3), where lambda(1), lambda(2), mu(1), mu(2) are positive constants. We use perturbation methods to prove that if beta is an element of L-r(R-3)(r >= 3) doesn't change sign, as corresponding epsilon is sufficiently small the system has a positive solution of which both components are positive. Our results is also true for domain R-2 and for domain R-N, N >= 4 when the similar system is subcritical.
关键词	Positive solutions coupled Schrodinger problem perturbation
DOI	10.3934/dcds.2016.36.851
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	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000360924400018
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20756
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
推荐引用方式 GB/T 7714	Li, Kui,Zhang, Zhitao. A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2016,36(2):851-860.
APA	Li, Kui,&Zhang, Zhitao.(2016).A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,36(2),851-860.
MLA	Li, Kui,et al."A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 36.2(2016):851-860.