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Survival of infinitely many critical points for the Rabinowitz action functional

Symplectic Geometry 2011-08-02 v2 Dynamical Systems

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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Cite

@article{arxiv.1006.2686,
  title  = {Survival of infinitely many critical points for the Rabinowitz action functional},
  author = {Jungsoo Kang},
  journal= {arXiv preprint arXiv:1006.2686},
  year   = {2011}
}

Comments

5 pages