8 citations · 15 across the 15 of their papers we have counts for
15 papers
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…
Interior estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions
Xinqun Mei, Jin Yan
In this paper, we study the interior estimates for Hessian quotient equations for , in arbitrary dimensions, under the natur…
The capillary Christoffel-Minkowski problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we introduce a -th capillary area measure for capillary convex bodies in the Euclidean half-space, which serves as a boundary counterpart to the classical conce…
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…
A fully nonlinear locally constrained curvature flow for capillary hypersurface
Xinqun Mei, Liangjun Weng
In this article, we study a locally constrained fully nonlinear curvature flow for convex capillary hypersurfaces in half-space. We prove that the flow preserves the convexity, exi…
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary II
Xinqun Mei, Guofang Wang, Liangjun Weng +1
In this paper, we provide an affirmative answer to [16, Conjecture 1.5] on the Alexandrov-Fenchel inequality for quermassintegrals for convex capillary hypersurfaces in the Euclide…
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…
Prescribed quotient curvature problem and related eigenvalue problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this paper, we investigate the existence of admissible (and strictly convex) smooth solutions to the prescribed quotient type curvature problem with . For cases where…
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…
The classical Neumann problem for a class of mixed Hessian equations
Chuan-Qiang Chen, Li Chen, Ni Xiang
In this paper, we establish global C^2 estimates for a class of mixed Hessian equations with Neumann boundary condition, and obtain the existence theorem of k-admissible solutions…