Journal of Modern Dynamics (JMD)

Survival of infinitely many critical points for the Rabinowitz action functional

Pages: 733 - 739, Issue 4, October 2010      doi:10.3934/jmd.2010.4.733

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Jungsoo Kang - Department of Mathematical Sciences, Seoul National University, Kwanakgu Shinrim, San56-1 Seoul, South Korea (email)

Abstract: In this paper, we show that if 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 filtered Rabinowitz Floer homology.

Keywords:  Rabinowitz Floer homology, leafwise intersections.
Mathematics Subject Classification:  53D40, 37J10, 58J05.

Received: June 2010;      Revised: November 2010;      Available Online: January 2011.