The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents
文献类型：期刊论文
| 作者 | Han, Pigong
|
| 刊名 | HOUSTON JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2006 |
| 卷号 | 32期号:4页码:1241-1257 |
| 关键词 | elliptic system energy functional (PS)(e) condition critical point critical Sobolev exponent |
| ISSN号 | 0362-1588 |
| 英文摘要 | In this paper, we consider the Dirichlet problem for an elliptic system of two equations involving the critical Sobolev exponents. By means of the variational method, we study the effect of the domain topology on the number of positive solutions, and prove the existence of at least cat(Omega) (Omega) positive solutions. |
| 语种 | 英语 |
| WOS记录号 | WOS:000243843000021 |
| 出版者 | UNIV HOUSTON |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3015]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Pigong. The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents[J]. HOUSTON JOURNAL OF MATHEMATICS,2006,32(4):1241-1257. |
| APA | Han, Pigong.(2006).The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents.HOUSTON JOURNAL OF MATHEMATICS,32(4),1241-1257. |
| MLA | Han, Pigong."The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents".HOUSTON JOURNAL OF MATHEMATICS 32.4(2006):1241-1257. |
入库方式： OAI收割
来源：数学与系统科学研究院
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