activity
20072026
most citedMultiple closed geodesics on bumpy Finsler -spheres

48 citations · 92 across the 20 of their papers we have counts for

collaborators

21 papers

math.SG2026

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…

math.AP2026

-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 (…

math.SG2026

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…

math.SG2025

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…

math.DG2024

On the minimal number of closed geodesics on positively curved Finsler spheres

Huagui Duan, Dong Xie

In this paper, we proved that for every Finsler metric on with reversibility and flag curvature satisfying an…

math.DS2024

Three closed characteristics on non-degenerate star-shaped hypersurfaces in

Huagui Duan, Hui Liu, Yiming Long +2

In this paper, we prove that for every non-degenerate compact star-shaped hypersurface in which carries no prime closed characteristic of Maslov-type ind…