Critical groups at infinity, saddle point reduction and elliptic resonant problems
文献类型：期刊论文
| 作者 | Liu, SB; Li, SJ |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2003-10-01 |
| 卷号 | 5期号:5页码:761-773 |
| 关键词 | morse inequality critical group Lyapunov-Schmidt reduction elliptic resonant problem |
| ISSN号 | 0219-1997 |
| 英文摘要 | We prove that if the Lyapunov-Schmidt method is applicable, then the critical groups at infinity of the reduced functional are isomorphic to those of the original functional. This observation, combining with our results on the critical groups of finite dimensional functional, enables us to compute the critical groups at infinity. New multiplicity results for resonant elliptic boundary value problems are obtained as applications. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186741400004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18043]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, SB |
| 作者单位 | Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, SB,Li, SJ. Critical groups at infinity, saddle point reduction and elliptic resonant problems[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2003,5(5):761-773. |
| APA | Liu, SB,&Li, SJ.(2003).Critical groups at infinity, saddle point reduction and elliptic resonant problems.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,5(5),761-773. |
| MLA | Liu, SB,et al."Critical groups at infinity, saddle point reduction and elliptic resonant problems".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 5.5(2003):761-773. |
入库方式： OAI收割
来源：数学与系统科学研究院
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