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.
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.
出处
《应用泛函分析学报》
CSCD
2011年第2期209-217,共9页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(NSFC10831005)
关键词
强不定问题
变分框架
形变理论
strongly indefinite problem
variational setting
deformation theory
