A simple proof of curvature estimate for convex solution of $k$-Hessian equation
Analysis of PDEs
2020-05-19 v2 Differential Geometry
Abstract
Guan-Ren-Wang established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation . In this note, we give a simple proof of this result.
Keywords
Cite
@article{arxiv.2003.00634,
title = {A simple proof of curvature estimate for convex solution of $k$-Hessian equation},
author = {Jianchun Chu},
journal= {arXiv preprint arXiv:2003.00634},
year = {2020}
}
Comments
12 pages; v2: there is a gap in the proof of Lemma 3.1 in v1. However, the idea in v1 can be applied to give a simple proof of Guan-Ren-Wang's result