STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS

doi:10.3934/dcdss.2020461

	STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS
	Cheng, Xiyou 3; Zhang, Zhitao 1,2
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
	2021-06-01
卷号	14 期号:6 页码:1857-1870
关键词	Schrodinger system Positive solution Existence and uniqueness Synchronized solution
ISSN号	1937-1632
DOI	10.3934/dcdss.2020461
英文摘要	This paper is devoted to dealing with the existence and uniqueness of positive solutions for the following coupled nonlinear Schrodinger systems with multi-parameters {-Delta u = lambda u - mu(1)u(3) + beta(1)uv(2), in Omega, {-Delta v = lambda v - mu(2)v(3) + beta(2)u(2)v, in Omega, u, v > 0 in Omega, u, v = 0 on partial derivative Omega, on the range of lambda and the different coupling constants beta(1), beta(2), where Omega subset of R-N (N >= 1) is a bounded smooth domain, lambda > 0 and mu(1)<= mu(2). Under some conditions, we establish some interesting positive solutions structure theorems in the beta(1) beta(2)-plane, especially we obtain the new structure theorems for the cases that mu(1) and mu(2) have different signs or they are negative. In addition, we get interesting uniqueness results via synchronized solutions techniques.
资助项目	NSFC[11771428] ; NSFC[11926335]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000718611200005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59682]
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Xiyou
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Xiyou,Zhang, Zhitao. STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,2021,14(6):1857-1870.
APA	Cheng, Xiyou,&Zhang, Zhitao.(2021).STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,14(6),1857-1870.
MLA	Cheng, Xiyou,et al."STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 14.6(2021):1857-1870.