段华贵

2026

Multiple closed characteristics on compact star-shaped hypersurfaces

Transactions of the American Mathematical Society

DOI

2026

Multiple closed geodesics on a sphere of odd dimension

Journal of differential geometry

DOI

2026

Multiple closed characteristics on compact star-shaped hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">R</

Journal of Differential Equations

DOI

2026

On the Common Index Jump Theorem and Further Developments

Frontiers of Mathematics

DOI

2025

Four closed characteristics on compact star-shaped hypersurfaces in R8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$

Journal of Geometric Analysis

DOI

2025

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

Journal für die Reine und Angewandte Mathematik

DOI

2016

Two closed geodesics on compact simply connected bumpy Finsler manifolds

Journal of Differential Geometry

DOI

2010

The index growth and multiplicity of closed geodesics

Journal of Functional Analysis

DOI

2009

Multiple closed geodesics on 3-spheres

Advances in Mathematics

DOI

2007

Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

Calculus of Variations and Partial Differential Equations

DOI

2006

一类混合单调算子的耦合不动点定理及其应用

《应用泛函分析学报》

2006

Multiple closed geodesics on bumpy Finsler n-spheres

Journal of Differential Equations

DOI

2005

一类非线性算子方程的最小最大耦合拟解的存在性(英文)

《数学杂志》

2004

几类非线性算子的不动点定理及应用

《江西师范大学》

2003

局部凸拓扑向量空间中的不动点定理

《江西师范大学学报(自然科学版)》

2003

混合单调算子的不动点定理及其应用

《江西师范大学学报(自然科学版)》

2026

Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$

arXiv preprint

2026

Stability of closed characteristics and invariant sets on star-shaped hypersurfaces

arXiv preprint

2024

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $\mathbf{R}^{6}$

arXiv preprint

2023

Multiple closed geodesics on Finsler $3$-dimensional sphere

arXiv preprint

2022

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

arXiv preprint

2022

Multiplicity and stability of closed geodesics on positively curved Finsler $4$-spheres

arXiv preprint

2022

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond

arXiv preprint

DOI

2022

A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in $\mathbf{R}^{2n}$

arXiv preprint

2016

Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in ${\bf R}^{2n}$

arXiv preprint

2015

Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in ${\bf R}^{2n}$

arXiv (Cornell University)

DOI

2015

On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

arXiv preprint

DOI

2015

Two elliptic closed geodesics on positively curved Finsler spheres

arXiv preprint

DOI

2015

The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

arXiv preprint

2015

Non-hyperbolic closed geodesics on positively curved Finsler spheres

arXiv preprint

DOI