# American Institute of Mathematical Sciences

October  2010, 4(4): 733-739. doi: 10.3934/jmd.2010.4.733

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

 1 Department of Mathematical Sciences, Seoul National University, Kwanakgu Shinrim, San56-1 Seoul, South Korea

Received  June 2010 Revised  November 2010 Published  January 2011

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.
Citation: Jungsoo Kang. Survival of infinitely many critical points for the Rabinowitz action functional. Journal of Modern Dynamics, 2010, 4 (4) : 733-739. doi: 10.3934/jmd.2010.4.733
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