SURVIVAL OF INFINITELY MANY CRITICAL POINTS FOR THE RABINOWITZ ACTION FUNCTIONAL

被引：6

作者：

Kang, Jungsoo ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul, South Korea

来源：

JOURNAL OF MODERN DYNAMICS | 2010年 / 4卷 / 04期

关键词：

Rabinowitz Floer homology; leafwise intersections; FLOER HOMOLOGY; FIXED-POINTS;

D O I：

10.3934/jmd.2010.4.733

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：733 / 739

页数：7

共 19 条

[1]

ALBERS P, ARXIV08124426

[2]

ALBERS P, J SYMPLECTI IN PRESS

[3]

Albers P., 2010, ISRAEL J MA IN PRESS

[4] Cup-length estimates for leaf-wise intersections [J].