Palais-Smale Condition, Index Pairs and Critical Point Theory

Details Palais-Smale Condition, Index Pairs and Critical Point Theory Palais-Smale Condition, Index Pairs and Critical Point Theory

2000-06-27

arxiv.org/abs/math/0006203v3

Mathematics

Dynamical Systems

11 pages, a noncompact version of the previous results

Scientific paper

This paper is concerned with index pairs in the sense of Conley index theory
for flows relative to pseudo-gradient vector fields for $C^1$-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.

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