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arXiv math/00062032000-06math.DS

Palais-Smale条件、指标对与临界点理论

Palais-Smale Condition, Index Pairs and Critical Point Theory

M. R. Razvan

备注：: 11 pages, a noncompact version of the previous results

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摘要：

本文研究了满足Palais-Smale条件的$C^1$ -函数关于伪梯度向量场流的Conley指标理论意义下的指标对。我们证明了这类指标对的一个变形定理，得到了Conley指标理论中的一个Lusternik-Schnirelmann型结果。

英文摘要：

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