Survival of infinitely many critical points for the Rabinowitz action functional

Details Survival of infinitely many critical points for the Rabinowitz action functional Survival of infinitely many critical points for the Rabinowitz action functional

2010-06-14

arxiv.org/abs/1006.2686v2

Journal of Modern Dynamics, Volume 4, Number 4, 2010, pp. 733 - 739

Mathematics

Symplectic Geometry

5 pages

Scientific paper

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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