8 citations · 15 across the 15 of their papers we have counts for
9 papers · 1 filter
Uniqueness of capillary Gauss solitons
Xinqun Mei, Guofang Wang, Liangjun Weng
We prove the rigidity conjecture of [16, Conjecture 1.2] for smooth strictly convex capillary Gauss solitons in a Euclidean half-space with an acute contact angle: every such solit…
The asymptotic Plateau problem for Hypersurfaces of constant curvature in hyperbolic space
Xinqun Mei, Jin Yan
In this paper, we study the asymptotic Plateau problem in hyperbolic space for hypersurfaces of constant -curvature. We prove the existence of a smooth complete -convex hyp…
Prescribed curvature problem for convex capillary hypersurface
Xinqun Mei, Guofang Wang, Liangjun Weng
We address the prescribed curvature problem for convex capillary hypersurfaces in the Euclidean half-space. Using the support function, we formulate the problem as a Hessian…
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…
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…
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…
Alexandrov-Fenchel inequalities for capillary hypersurfaces in hyperbolic space
Xinqun Mei, Liangjun Weng
In this article, we first introduce the quermassintegrals for compact hypersurfaces with capillary boundaries in hyperbolic space from a variational viewpoint, and then we solve an…
A constrained mean curvature type flow for capillary boundary hypersurfaces in space forms
Xinqun Mei, Liangjun Weng
In this paper, we introduce a new constrained mean curvature type flow for capillary boundary hypersurfaces in space forms. We show the flow exists for all time and converges globa…
A constrained mean curvature flow and Alexandrov-Fenchel inequalities
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we study a locally constrained mean curvature flow for star-shaped hypersurfaces with capillary boundary in the half-space. We prove its long-time existence and th…