4 papers
Stability of closed characteristics and invariant sets on star-shaped hypersurfaces
Huagui Duan, Zihao Qi
This paper focuses on the stability of a closed characteristic and invariant sets on compact star shaped hypersurfaces in with finitely many simple closed characteri…
-Supercritical Nonlinear Klein-Gordon System with Quadratic Asymmetric Interaction
Xiaojing Dong, Huagui Duan, Zaihui Gan +1
In this paper we investigate the global existence, blow-up and standing waves for the -supercritical nonlinear Klein-Gordon equations with quadratic asymmetric interaction (…
Closed Reeb orbits on contact type hypersurfaces in
Huagui Duan, Zihao Qi
In this paper, it is proved that under dynamically convex condition, there exist at least closed Reeb orbits on a closed contact type hypersurface in enc…
On the common index jump theorem and further developments
Huagui Duan, Yiming Long, Wei Wang +1
In [LZ02] published in Annals of Mathematics, Long and Zhu established originally the common index jump theorem (CIJT) for symplectic paths in 2002, which has played an important r…