Changyu Ren

activity

20132022

C^{2}

estimates for convex solutions of curvature equations

13 citations · 36 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DG2020★ 6 cited

The prescribed curvature problem for entire hypersurfaces in Minkowski space

Changyu Ren, Zhizhang Wang, Ling Xiao

We prove three results in this paper. First, we prove for a wide class of functions $φ \in C^{2} (S^{n - 1})$ and $ψ (X, ν) \in C^{2} (R^{n + 1} \times H^{n}),$ there exi…

math.AP2020★ 2 cited

Notes on the curvature estimates for Hessian equations

Changyu Ren, Zhizhang Wang

The main result of this paper gives a plenary proof on the curvature estimates for $k$ curvature equations with general right hand sides with $n < 2 k$ based on a concavity inequality…

math.AP2020★ 6 cited

The global curvature estimate for the n-2 Hessian equation

Changyu Ren, Zhizhang Wang

This paper establishes the global curvature estimate for the $n - 2$ curvature equation with the general right hand side which partially solves this longstanding problem.