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A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3
Li, Kui1; Zhang, Zhitao2
2016-02-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN1078-0947
Volume36Issue:2Pages:851-860
AbstractWe 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.
KeywordPositive solutions coupled Schrodinger problem perturbation
DOI10.3934/dcds.2016.36.851
Language英语
Funding ProjectNational Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000360924400018
PublisherAMER INST MATHEMATICAL SCIENCES
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20756
Collection数学所
Corresponding AuthorZhang, Zhitao
Affiliation1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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