Palais-Smale Condition, Index Pairs and Critical Point Theory
动力系统
2007-05-23 v3
摘要
This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields for -functions satisfying Palais-Smale condition. We prove a deformation theorem for such index pairs to obtain a Lusternik-Schnirelmann type result in Conley index theory.
引用
@article{arxiv.math/0006203,
title = {Palais-Smale Condition, Index Pairs and Critical Point Theory},
author = {M. R. Razvan},
journal= {arXiv preprint arXiv:math/0006203},
year = {2007}
}
备注
11 pages, a noncompact version of the previous results