STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS

doi:10.3934/dcdss.2020461

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	STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS
	Cheng, Xiyou 1; Zhang, Zhitao 2,3
	2021-06-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
ISSN	1937-1632
卷号	14 期号:6 页码:1857-1870
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.
关键词	Schrodinger system Positive solution Existence and uniqueness Synchronized solution
DOI	10.3934/dcdss.2020461
收录类别	SCI
语种	英语
资助项目	NSFC[11771428] ; NSFC[11926335]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000718611200005
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/59683
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.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.