10 citations · 14 across the 8 of their papers we have counts for
8 papers
A mean curvature type flow with capillary boundary in a horoball in hyperbolic space
Jinyu Guo
In this paper, we study a mean curvature type flow with capillary boundary in a horoball in hyperbolic space. Our flow preserves the volume of the bounded domain enclosed by the hy…
Stable -th capillary hypersurfaces
Jinyu Guo, Haizhong Li, Chao Xia
In this paper, we propose a new definition of stable -th capillary hypersurfaces from variational perspective for any . More precisely, we define stable $(r…
Stable anisotropic capillary hypersurfaces in a half-space
Jinyu Guo, Chao Xia
In this paper, we study stability problem of anisotropic capillary hypersurfaces in an Euclidean half-space. We prove that any compact immersed anisotropic capillary constant aniso…
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…
A Minkowski type inequality with free boundary in space forms
Jinyu Guo
In this paper, we consider a Minkowski inequality for a domain supported on any umbilical hypersurface with free boundary in space forms. We generalize the main result in \cite{Xia…
A partially overdetermined problem in domains with partial umbilical boundary in space forms
Jinyu Guo, Chao Xia
In the first part of this paper, we consider a partially overdetermined mixed boundary value problem in space forms and generalize the main result in \cite{GX} into the case of gen…
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…
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…