KMS Of Academy of mathematics and systems sciences, CAS
Normalized solutions to Schrodinger systems with linear and nonlinear couplings | |
Yun, Zhaoyang1,2; Zhang, Zhitao1,2,3 | |
2022-02-01 | |
Source Publication | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
ISSN | 0022-247X |
Volume | 506Issue:1Pages:19 |
Abstract | 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. |
Keyword | Nonlinear Schrodinger systems Normalized solutions Ekland variational principle Minimax principle |
DOI | 10.1016/j.jmaa.2021.125564 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[12031015] ; National Natural Science Foundation of China[12026217] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000705028400022 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59423 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang, Zhitao |
Affiliation | 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 |
Recommended Citation 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. |
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