New linking theorem and elliptic systems with nonlinear boundary condition
文献类型：期刊论文
| 作者 | Zou, WM; Li, SJ |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2003-03-01 |
| 卷号 | 52期号:7页码:1797-1820 |
| 关键词 | linking nonlinear boundary condition elliptic systems |
| ISSN号 | 0362-546X |
| 英文摘要 | In this paper, we establish a new linking theorem without (PS)-type assumption. The new theorem produces bounded (PS) sequences. The abstract result will be used to study the existence of nontrivial (positive) solutions to the elliptic system Deltau = u, Deltav = v in Omega with nonlinear boundary condition partial derivativeu/partial derivativen = G(v), partial derivativev/partial derivativen = G(u) on partial derivativeOmega, where Omega is a bounded domain of R-N with smooth boundary, partial derivative/partial derivativen is the outer normal derivative. We consider "weak" superlinear and asymptotically linear cases. (C) 2003 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000181012600008 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18367]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zou, WM |
| 作者单位 | 1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zou, WM,Li, SJ. New linking theorem and elliptic systems with nonlinear boundary condition[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,52(7):1797-1820. |
| APA | Zou, WM,&Li, SJ.(2003).New linking theorem and elliptic systems with nonlinear boundary condition.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,52(7),1797-1820. |
| MLA | Zou, WM,et al."New linking theorem and elliptic systems with nonlinear boundary condition".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 52.7(2003):1797-1820. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。