KMS Of Academy of mathematics and systems sciences, CAS
Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings | |
Zhang, Xinqiu1; Zhang, Zhitao2,3 | |
2020-03-16 | |
Source Publication | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS |
ISSN | 1661-7738 |
Volume | 22Issue:2Pages:21 |
Abstract | 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. |
Keyword | Schrodinger system linear and nonlinear couplings uniqueness synchronized solution |
DOI | 10.1007/s11784-020-0767-y |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11771428,11926335] ; National Natural Science Foundation of China[11871302] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000532346200005 |
Publisher | SPRINGER BASEL AG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51464 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang, Xinqiu |
Affiliation | 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 |
Recommended Citation 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. |
Files in This Item: | ||||||
There are no files associated with this item. |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment