4 papers
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 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 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…