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28 March 2024
 
  » arxiv » math.DS/0006203

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Palais-Smale Condition, Index Pairs and Critical Point Theory
M.R. Razvan ;
Date 27 Jun 2000
Subject Dynamical Systems MSC-class: 37B30, 58E05 | math.DS
AbstractThis 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.
Source arXiv, math.DS/0006203
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