The curvature estimates for convex solutions of some fully nonlinear Hessian type equations
Analysis of PDEs
2017-05-30 v1
Abstract
The curvature estimates of quotient curvature equation do not always exist even for convex setting \cite{GRW}. Thus it is natural question to find other type of elliptic equations possessing curvature estimates. In this paper, we discuss the existence of curvature estimate for fully nonlinear elliptic equations defined by symmetric polynomials, mainlly, the linear combination of elementary symmetric polynomials.
Keywords
Cite
@article{arxiv.1705.09891,
title = {The curvature estimates for convex solutions of some fully nonlinear Hessian type equations},
author = {Chunhe Li and Changyu Ren and Zhizhang Wang},
journal= {arXiv preprint arXiv:1705.09891},
year = {2017}
}