On the curvature estimates for Hessian equations

Abstract

The curvature estimates of $k$ curvature equations for general right hand side is a longstanding problem. In this paper, we totally solve the $n-1$ case and we also discuss some applications for our estimate.

Cited by in corpus (2)

• Starshaped compact hypersurfaces with prescirbed Weingarten curvature in warped product manifolds
• A class of prescribed Weingarten curvature equations in Euclidean space