THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM

doi:10.12775/TMNA.2019.098

	THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM
	Dai, Guowei 6; Sun, Yimin 4; Wang, Zhi-Qiang 3,5; Zhang, Zhitao 1,2
刊名	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
	2020-03-01
卷号	55 期号:1 页码:343-367
关键词	Schrodinger systems global bifurcation multi-parameter positive solutions
ISSN号	1230-3429
DOI	10.12775/TMNA.2019.098
英文摘要	Using bifurcation analysis we investigate the structure of the set of positive solutions for the coupled nonlinear Schrodinger system { -Delta u(1 )+( )u(1 )= u(1)(3) + beta u(1)u(2)(2) in R-N, -Delta U-2 + lambda u(2) = mu u(2)(3) + beta u(2)u(1)(2) in R-N, u(1 )(x), u(2) (x) -> 0 as vertical bar x vertical bar -> + infinity, where N = 1, 2, 3, mu is a positive constant, lambda and beta are positive real parameters. We prove the existence of two two-dimensional continua S-1 and S-2 emanating from the two sets of semi-positive solutions which cover some regions in term of (beta, lambda) is an element of R-+(2). To do this, we establish a multi-parameter unilateral global bifurcation theorem.
资助项目	NNSF of China[11771428] ; NNSF of China[11926335] ; NNSF of China[11871129] ; NNSF of China[11771324] ; NNSF of China[11831009] ; NNSF of China[11811540026]
WOS研究方向	Mathematics
语种	英语
出版者	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
WOS记录号	WOS:000522653200016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51031]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Zhitao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sciencese, Beijing 100049, Peoples R China 3.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA 4.Northwest Univ, Dept Math, Xian 710127, Peoples R China 5.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Peoples R China 6.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	Dai, Guowei,Sun, Yimin,Wang, Zhi-Qiang,et al. THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2020,55(1):343-367.
APA	Dai, Guowei,Sun, Yimin,Wang, Zhi-Qiang,&Zhang, Zhitao.(2020).THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,55(1),343-367.
MLA	Dai, Guowei,et al."THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 55.1(2020):343-367.