paper

Palais-Smale Condition, Index Pairs and Critical Point Theory

arXiv:math/0006203

Abstract

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.

11 pages, a noncompact version of the previous results

Palais-Smale Condition, Index Pairs and Critical Point Theory · wovepaper