Survival of infinitely many critical points for the Rabinowitz action functional

Jungsoo Kang

doi:10.3934/jmd.2010.4.733

Article Contents

2010, Volume 4, Issue 4: 733-739. Doi: 10.3934/jmd.2010.4.733

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Survival of infinitely many critical points for the Rabinowitz action functional

Jungsoo Kang^1,

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

Received: May 31, 2010

Revised: October 31, 2010

Published: December 2010

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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.

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