5 papers · 1 filter
The capillary -Minkowski problem
Xinqun Mei, Guofang Wang, Liangjun Weng
This paper is a continuation of our recent work [Adv. Math. 469 (2025), Paper No. 110230] concerning the capillary Minkowski problem. We propose, in this paper, a capillary -M…
Prescribed curvature problem for convex capillary hypersurface
Xinqun Mei, Guofang Wang, Liangjun Weng
We study the prescribed Lp curvature problem for convex capillary hypersurfaces in the Euclidean half-space. By reducing the problem to finding a convex solution of a Hessian quoti…
The capillary Gauss curvature flow
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we first introduce a Gauss curvature type flow for capillary hypersurfaces, which we call capillary Gauss curvature flow. We then show that the flow will shrink to…
Convex capillary hypersurfaces of prescribed curvature problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this paper, we study the prescribed -th Weingarten curvature problem for convex capillary hypersurfaces in . This problem naturally extends the…
The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space
Lei Liu, Guofang Wang, Liangjun Weng
In this paper, we mainly consider the relative isoperimetric inequalities for minimal submanifolds with free boundary. We first generalize ideas of restricted normal cones introduc…