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arXiv 1006.2686math.SGmath.DS
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Rabinowitz作用泛函无穷多个临界点的生存性

Survival of infinitely many critical points for the Rabinowitz action functional

Jungsoo Kang

摘要:

本文证明了:如果Rabinowitz弗洛尔同调具有无穷维,则Rabinowitz作用泛函存在无穷多个临界点,即使它可能是非Morse的.这个结果通过检查过滤的Rabinowitz弗洛尔同调得到了证明。

英文摘要:

In this paper, we show that if the Rabinowitz Floer homology has infinite dimension, there exist infinitely many critical points of a Rabinowitz action functional even though it could be non-Morse. This result is proved by examining the filtered Rabinowitz Floer homology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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