Deformation theorems on non-metrizable vector spaces and applications to critical point theory
文献类型：期刊论文
| 作者 | Bartsch, Thomas; Ding, Yanheng
|
| 刊名 | MATHEMATISCHE NACHRICHTEN
 |
| 出版日期 | 2006 |
| 卷号 | 279期号:12页码:1267-1288 |
| ISSN号 | 0025-584X |
| 关键词 | critical point theory strongly indefinite functionals gage spaces |
| DOI | 10.1002/mana.200410420 |
| 英文摘要 | Let E be a Banach space and Phi : E -> R a C-1-functional. Let P be a family of semi-norms on E which separates points and generates a (possibly non-metrizable) topology T-p on E weaker than the norm topology. This is a special case of a gage space, that is, a topological space where the topology is generated by a family of semi-metrics. We develop some critical point theory for Phi : (E, P) -> R. In particular, we prove deformation lemmas where the deformations are continuous with respect to T-p. In applications this yields a gain in compactness when Phi does not satisfy the Palais-Smale condition because one can work with the weak topology. We also prove some foundational results on gage spaces. In particular, we introduce the concept of Lipschitz continuity in this setting and prove the existence of Lipschitz continuous partitions of unity. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | WILEY-V C H VERLAG GMBH |
| WOS记录号 | WOS:000240364800001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2668]  |
| 专题 | 数学所 |
| 通讯作者 | Bartsch, Thomas |
| 作者单位 | 1.Univ Giessen, Math Inst, D-35392 Giessen, Germany 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bartsch, Thomas,Ding, Yanheng. Deformation theorems on non-metrizable vector spaces and applications to critical point theory[J]. MATHEMATISCHE NACHRICHTEN,2006,279(12):1267-1288. |
| APA | Bartsch, Thomas,&Ding, Yanheng.(2006).Deformation theorems on non-metrizable vector spaces and applications to critical point theory.MATHEMATISCHE NACHRICHTEN,279(12),1267-1288. |
| MLA | Bartsch, Thomas,et al."Deformation theorems on non-metrizable vector spaces and applications to critical point theory".MATHEMATISCHE NACHRICHTEN 279.12(2006):1267-1288. |
入库方式： OAI收割
来源：数学与系统科学研究院
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