Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings
文献类型：期刊论文
| 作者 | Zhang, Xinqiu1; Zhang, Zhitao2,3 |
| 刊名 | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
 |
| 出版日期 | 2020-03-16 |
| 卷号 | 22期号:2页码:21 |
| 关键词 | Schrodinger system linear and nonlinear couplings uniqueness synchronized solution |
| ISSN号 | 1661-7738 |
| DOI | 10.1007/s11784-020-0767-y |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000532346200005 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51463]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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