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Existence of solutions for a Schrodinger system with linear and nonlinear couplings
Li, Kui1; Zhang, Zhitao2,3,4
2016-08-01
Source PublicationJOURNAL OF MATHEMATICAL PHYSICS
ISSN0022-2488
Volume57Issue:8Pages:17
AbstractWe 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.
DOI10.1063/1.4960046
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 AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000383917300004
PublisherAMER INST PHYSICS
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23624
Collection数学所
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
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
Recommended Citation
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.
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