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arxiv: 1006.2686 · v2 · pith:IO5TXUKDnew · submitted 2010-06-14 · 🧮 math.SG · math.DS

Survival of infinitely many critical points for the Rabinowitz action functional

classification 🧮 math.SG math.DS
keywords rabinowitzactioncriticalfloerfunctionalhomologyinfinitelymany
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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.

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