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STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS

文献类型：期刊论文

作者Cheng, Xiyou1; Zhang, Zhitao2,3
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
出版日期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
DOI10.3934/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
WOS记录号WOS:000718611200005
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
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.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.

入库方式： OAI收割

来源：数学与系统科学研究院

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