Rabinowitz作用泛函无穷多个临界点的生存性
Survival of infinitely many critical points for the Rabinowitz action functional
摘要:
本文证明了:如果Rabinowitz弗洛尔同调具有无穷维,则Rabinowitz作用泛函存在无穷多个临界点,即使它可能是非Morse的.这个结果通过检查过滤的Rabinowitz弗洛尔同调得到了证明。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。