A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3 | |
Li, Kui1; Zhang, Zhitao2 | |
2016-02-01 | |
Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
ISSN | 1078-0947 |
Volume | 36Issue:2Pages:851-860 |
Abstract | 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. |
Keyword | Positive solutions coupled Schrodinger problem perturbation |
DOI | 10.3934/dcds.2016.36.851 |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000360924400018 |
Publisher | AMER INST MATHEMATICAL SCIENCES |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20756 |
Collection | 数学所 |
Corresponding Author | Zhang, Zhitao |
Affiliation | 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 |
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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