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Survival of infinitely many critical points for the Rabinowitz action functional

Published 14 Jun 2010 in math.SG and math.DS | (1006.2686v2)

Abstract: 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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