Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings

doi:10.1007/s11784-020-0767-y

CSpace

	Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings
	Zhang, Xinqiu 1; Zhang, Zhitao 2,3
	2020-03-16
发表期刊	JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
ISSN	1661-7738
卷号	22 期号:2 页码:21
摘要	In this paper, we study the existence, nonexistence and uniqueness of positive solutions for the following two Schrodinger systems with linear and nonlinear couplings which arise from Bose-Einstein condensates: {-Delta u + mu u(3) = lambda u + kappa upsilon +beta u upsilon(2) in Omega, -Delta upsilon + mu upsilon(3) = lambda upsilon + kappa u +beta upsilon u(2) in Omega, u, upsilon > 0 in Omega, u = upsilon = 0 on partial derivative Omega, and {-Delta u + lambda u + kappa upsilon = mu u(3) + beta u upsilon(2) in Omega, -Delta upsilon + lambda upsilon + kappa u = mu upsilon(3) + beta upsilon u(2) in Omega, u, upsilon > 0 in Omega, u = upsilon = 0 on partial derivative Omega on the range of lambda and the coupling constants kappa, beta, where Omega is a bounded smooth domain in R-N, N >= 1, lambda , mu > 0. We obtain some interesting positive solutions distribution theorems in the kappa lambda-plane for fixed beta in different ranges. Especially we get some uniqueness results via synchronized solution techniques.
关键词	Schrodinger system linear and nonlinear couplings uniqueness synchronized solution
DOI	10.1007/s11784-020-0767-y
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11771428,11926335] ; National Natural Science Foundation of China[11871302]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000532346200005
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51464
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xinqiu
作者单位	1.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, HLM, 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	Zhang, Xinqiu,Zhang, Zhitao. Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,2020,22(2):21.
APA	Zhang, Xinqiu,&Zhang, Zhitao.(2020).Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS,22(2),21.
MLA	Zhang, Xinqiu,et al."Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings".JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 22.2(2020):21.