Ling Xiao

collaborators

3 papers

math.AP2024

Non-convexity of level sets for $k$ -Hessian equations in convex ring

Zhizhang Wang, Ling Xiao

In this paper we construct explicit examples that show the sublevel sets of the solution of a $k$ -Hessian equation defined on a convex ring do not have to be convex.

math.DG2022

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Ling Xiao

In this paper, we prove a generalized Minkowski inequality holds for any smooth, $(k - 1)$ -convex, starshaped domain $Ω.$ Our proof relies on the solvability of the degenerate $k$ -He…

math.DG2022

Entire $σ_{k}$ curvature flow in Minkowski space

Zhizhang Wang, Ling Xiao

In this paper, we study the $σ_{k}$ curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, t…

Non-convexity of level sets for k-Hessian equations in convex ring

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Entire σk​ curvature flow in Minkowski space

Non-convexity of level sets for $k$ -Hessian equations in convex ring

Entire $σ_{k}$ curvature flow in Minkowski space