GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS

doi:10.3934/dcdss.2019125

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	GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS
	Dai, Guowei 1; Tian, Rushun 2; Zhang, Zhitao3,4
	2019-11-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
ISSN	1937-1632
卷号	12 期号:7 页码:1905-1927
摘要	In 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].
关键词	Bifurcation Schrodinger systems positive solutions
DOI	10.3934/dcdss.2019125
语种	英语
资助项目	NSFC[11771428] ; NSFC[11871129] ; NSFC[11601353] ; NSFC[11325107] ; Beijing Natural Science Foundation[1174013]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000471272800008
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35027
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.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
推荐引用方式 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.