5 papers · 1 filter
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…
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…
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…
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…