Solutions with prescribed number of nodes to superlinear elliptic systems
文献类型：期刊论文
| 作者 | Cao, DM ; Tang, ZW
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2003-12-01 |
| 卷号 | 55期号:6页码:707-722 |
| 关键词 | nodal solutions superlinear elliptic systems critical point variational method |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2003.07.014 |
| 英文摘要 | We consider a class of elliptic systems in the following form: -DeltaU + U = delE(U), U(x) epsilon R-2 with x epsilon R-N. We prove the existence of infinitely many solutions which are characterized by the number of nodes of each component. Our argument is based upon an extension of the results of Terracini and Verzini (Nonlinear Differential Equations Appl. 8 (2001) 323). (C) 2003 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186352900006 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18908]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, DM |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Tang, ZW. Solutions with prescribed number of nodes to superlinear elliptic systems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,55(6):707-722. |
| APA | Cao, DM,&Tang, ZW.(2003).Solutions with prescribed number of nodes to superlinear elliptic systems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,55(6),707-722. |
| MLA | Cao, DM,et al."Solutions with prescribed number of nodes to superlinear elliptic systems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 55.6(2003):707-722. |
入库方式： OAI收割
来源：数学与系统科学研究院
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