4 papers
Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball
Guofang Wang, Chao Xia
In this paper we introduce a Guan-Li type volume preserving mean curvature flow for free boundary hypersurfaces in a ball. We give a concept of star-shaped free boundary hypersurfa…
Stability for a second type partitioning problem
Jinyu Guo, Chao Xia
In this paper, we study stability and instability problem for type-II partitioning problem. First, we make a complete classification of stable type-II stationary hypersurfaces in a…
Christoffel-Minkowski problem: the case
Pengfei Guan, Chao Xia
We consider a fully nonlinear partial differential equation associated to the intermediate Christoffel-Minkowski problem in the case . We establish the existence of…
An integral formula and its applications on sub-static manifolds
Junfang Li, Chao Xia
In this article, we first establish the main tool - an integral formula for Riemannian manifolds with multiple boundary components (or without boundary). This formula generalizes R…