3 papers
math.DG2021
Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space
Jinyu Guo, Guofang Wang, Chao Xia
In this paper, we study a stability problem of free boundary hypersurfaces, and also capillary ones whose boundary supported on a horosphere in hyperbolic space. We prove that umbi…
math.DG2019
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…
math.AP2018
A partially overdetermined problem in a half ball
Jinyu Guo, Chao Xia
In this paper, we study a partially overdetermined mixed boundary value problem in a half ball. We prove that a domain in which this partially overdetermined problem admits a solut…