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GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS
Dai, Guowei1; Tian, Rushun2; Zhang, Zhitao3,4
2019-11-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
ISSN1937-1632
Volume12Issue:7Pages:1905-1927
AbstractIn this paper, we consider the following coupled elliptic system {-Delta u + lambda(1)u = mu(1)u(3) + beta uv(2) - gamma v in R-N, -Delta v + lambda(2)v = mu(2)v(3) + beta vu(2) - gamma u in R-N, u(x), v(x) -> 0 as vertical bar x vertical bar -> +infinity. Under symmetric assumptions lambda(1) = lambda(2), mu(1) = mu(2), we determine the number of gamma-bifurcations for each beta is an element of (-1, +infinity), and study the behavior of global gamma-bifurcation branches in [-1,0] x H-r(1) (R-N) x H-r(1) (R-N). Moreover, several results for gamma = 0, such as priori bounds, are of independent interests, which are improvements of corresponding theorems in [6] and [35].
KeywordBifurcation Schrodinger systems positive solutions
DOI10.3934/dcdss.2019125
Language英语
Funding ProjectNSFC[11771428] ; NSFC[11871129] ; NSFC[11601353] ; NSFC[11325107] ; Beijing Natural Science Foundation[1174013]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000471272800008
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35027
Collection数学所
Corresponding AuthorZhang, Zhitao
Affiliation1.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
2.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
3.Chinese Acad Sci, HLM, CEMS, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Dai, Guowei,Tian, Rushun,Zhang, Zhitao. GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,2019,12(7):1905-1927.
APA Dai, Guowei,Tian, Rushun,&Zhang, Zhitao.(2019).GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,12(7),1905-1927.
MLA Dai, Guowei,et al."GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 12.7(2019):1905-1927.
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