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Palais-Smale Condition, Index Pairs and Critical Point Theory

M. R. Razvan
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Abstract

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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M. R. Razvan. 2001-02-25. Palais-Smale Condition, Index Pairs and Critical Point Theory. https://arxiv.org/abs/math/0006203

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