SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION
文献类型：期刊论文
| 作者 | Zhang, Zhitao1 ; Luo, Haijun
|
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
 |
| 出版日期 | 2018-05-01 |
| 卷号 | 17期号:3页码:787-806 |
| 关键词 | Nonlinear elliptic system ground state solution foliated Schwarz symmetric asymptotic limits |
| ISSN号 | 1534-0392 |
| DOI | 10.3934/cpaa.2018040 |
| 英文摘要 | We study symmetry and asymptotic behavior of ground state solutions for the doubly coupled nonlinear Schrodinger elliptic system { -Delta u + lambda(1)u+ kappa v = mu(1)u(3) + beta uv(2) in Omega, -Delta v + lambda(2)v + kappa u = mu(2)v(3) + beta u(2)v in Omega, u = v = 0 on partial derivative Omega (or u, v is an element of H-1(R-N) as Omega = R-N,R- where N <= 3,Omega subset of R-N is a smooth domain. First we establish the symmetry of ground state solutions, that is, when Omega is radially symmetric, we show that ground state solution is foliated Schwarz symmetric with respect to the same point. Moreover, ground state solutions must be radially symmetric under the condition that Omega is a ball or the whole space R-N. Next we investigate the asymptotic behavior of positive ground state solution as k -> 0(-) , which shows that the limiting profile is exactly a minimizer for c(0) (the minimized energy constrained on Nehari manifold corresponds to the limit systems). Finally for a system with three equations, we prove the existence of ground state solutions whose all components are nonzero. |
| 资助项目 | National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11331010] ; National Natural Science Foundation of China[11771428] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000439236400003 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30791]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, HLM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhitao,Luo, Haijun. SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2018,17(3):787-806. |
| APA | Zhang, Zhitao,&Luo, Haijun.(2018).SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,17(3),787-806. |
| MLA | Zhang, Zhitao,et al."SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 17.3(2018):787-806. |
入库方式： OAI收割
来源：数学与系统科学研究院
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