3 papers
math.AP2025
Complete Classification of the Symmetry Groups of Monge-Ampère Equation and Affine Maximal type Equation
Huan-Jie Chen, Shi-Zhong Du
The affine maximal type hypersurface has been a core topic in Affine Geometry. When the hypersurface is presented as a regular graph of a convex function , the statement that th…
math.AP2025
Complete Classification of the Symmetry Group of -Minkowski Problem on the Sphere
Huan-Jie Chen, Shi-Zhong Du
In Convex Geometry, a core topic is the -Minkowski problem \begin{equation}\label{e0.1} \det(\nabla^2h+hI)=fh^{p-1}, \ \ \forall X\in{\mathbb{S}}^n, \ \ \forall p\in \mathbb{R…
math.AP2023
Li-Yau Inequality and Liouville Property to a Semilinear Heat Equation on Riemannian Manifolds
Huan-Jie Chen, Shi-Zhong Du, Yue-Xiao Ma
This work deals with the Entire solutions of a nonlinear equation. The first part of this paper is devoted to investigation of the Liouville property on compact manifolds, which ex…