GeoTop Geometric Analysis Seminar: Chaofeng Zhu (Nankai U)
GeoTop Geometric Analysis Seminar
Speaker: Chaofeng Zhu (Nankai U)
Title: Global Mountain Pass Points and Applications to Minimal Period Problems in Hamiltonian Systems
Abstract: In this talk, we introduce the notion of the global mountain pass points. Then we show that under certain conditions, there exists either a non-trivial minimal point or a global mountain pass point. As an application, we show that for each $\tau>0$, a strictly convex super-linear autonomous Hamiltonian system with brake symmetry has a periodic orbit with minimal period $\tau$.