4 papers
Existence and nonexistence results for a nonlocal isoperimetric problem on
Haizhong Li, Bo Yang
In Euclidean space , the minimization problem of a nonlocal isoperimetric functional with a competition between perimeter and a nonlocal term derived from the negativ…
Inverse curvature flows for capillary hypersurfaces in the unit ball
Shujing Pan, Bo Yang
In this paper, we study inverse curvature flows for strictly convex, capillary hypersurfaces in the unit Euclidean ball. We establish the existence and convergence results for a cl…
A Minkowski type inequality in warped cylinders
Shujing Pan, Bo Yang
We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show th…
The weighted geometric inequalities for static convex domains in static rotationally symmetric spaces
Shujing Pan, Bo Yang
We consider a locally constrained curvature flow in a static rotationally symmetric space , which was firstly introduced by Hu and Li in the hyperbolic space. We…