| 强不定问题的变分方法 |
| |
| 引用本文： | 丁彦恒. 强不定问题的变分方法[J]. 应用泛函分析学报, 2011, 13(2): 209-217. DOI: 10.3724/SP.J.1160.2011.00209 |
| |
| 作者姓名： | 丁彦恒 |
| |
| 作者单位： | 中国科学院数学与系统科学研究院数学研究所,北京,100190 |
| |
| 摘 要： | 简要回顾近年来关于强不定问题的变分方法某些研究方面的发展．首先介绍强不定问题，接着叙述建立强不定问题的变分框架的基本思路，进而给出局部凸拓扑线性空间的形变理论，最后陈述几个基于此形变理论的处理强不定问题的临界点定理．这些理论的应用将在后续文章中介绍．
|
| 关 键 词： | 强不定问题 变分框架 形变理论 |
Variational Methods for Strongly Indefinite Problems |
| |
| DING Yanheng. Variational Methods for Strongly Indefinite Problems[J]. Acta Analysis Functionalis Applicata, 2011, 13(2): 209-217. DOI: 10.3724/SP.J.1160.2011.00209 |
| |
| Authors: | DING Yanheng |
| |
| Affiliation: | DING Yanheng Institute of Mathematics,Academy of Mathematic and Systems Science,Chinese Academy of Science,Beijing 100190,China |
| |
| Abstract: | This paper reviews some recent development in studying variational methods for strongly indefinite problems.We firstly recall the strongly indefinite problems,then describe the ideas for establishing the variational setting,after then state a deformation theory in locally convex topological linear spaces,and lastly introduce several critical point theorems for dealing with strongly indefinite problems.Some applications of the theory will be given in forthcoming papers. |
| |
| Keywords: | strongly indefinite problem variational setting deformation theory |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
