Normalized solutions to Schrodinger systems with linear and nonlinear couplings

doi:10.1016/j.jmaa.2021.125564

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	Normalized solutions to Schrodinger systems with linear and nonlinear couplings
	Yun, Zhaoyang 1,2; Zhang, Zhitao 1,2,3
	2022-02-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	506 期号:1 页码:19
摘要	In this paper, we study important Schrodinger systems with linear and nonlinear couplings {-Delta u(1) - lambda(1)u(1) = mu(1)vertical bar u(1)vertical bar(p1-2)u(1) + r(1)beta vertical bar u(1)vertical bar(r1-2)vertical bar u(2)vertical bar(r2) + kappa(x)u(2) in R-N, -Delta u(2) - lambda(2)u(2) = mu(2)vertical bar u(2)vertical bar(p2-2)u(2) + r(2) beta vertical bar u(1)vertical bar(r1)vertical bar u(2)vertical bar(r2-2)u(2) + kappa(x)u(1) in R-N u(1) is an element of H-1 (R-N), u(2) is an element of H-1 (R-N), with the condition integral(RN) u(1)(2) - a(1)(2), integral(RN) u(2)(2) - a(2)(2), where N >= 2, mu(1), mu(2), a(1), a(2) > 0, beta is an element of R, 2 < p(1), p(2) < 2, r(1), r(2) > 1, r(1) + r(2) < 2,kappa(x) is an element of L-infinity(R-N) with fixed sign and lambda(1), lambda(2) are Lagrangian multipliers. We use Ekland variational principle to prove this system has a normalized radially symmetric solution for L-2-subcritical case when N >= 2, and use minimax method to prove this system has a normalized radially symmetric positive solution for L-2-supercritical case when N = 3, p(1) = p(2) = 4, r(1) = r(2) = 2. (C) 2021 Elsevier Inc. All rights reserved.
关键词	Nonlinear Schrodinger systems Normalized solutions Ekland variational principle Minimax principle
DOI	10.1016/j.jmaa.2021.125564
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[12031015] ; National Natural Science Foundation of China[12026217]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000705028400022
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59423
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 Sci, Beijing 100049, Peoples R China 3.Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Yun, Zhaoyang,Zhang, Zhitao. Normalized solutions to Schrodinger systems with linear and nonlinear couplings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2022,506(1):19.
APA	Yun, Zhaoyang,&Zhang, Zhitao.(2022).Normalized solutions to Schrodinger systems with linear and nonlinear couplings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,506(1),19.
MLA	Yun, Zhaoyang,et al."Normalized solutions to Schrodinger systems with linear and nonlinear couplings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 506.1(2022):19.