English

A Minimal Value Problem and the Prescribed $\sigma_2$ Curvature Measure Problem

Analysis of PDEs 2011-04-26 v2

Abstract

In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we prove the C2C^2 a priori estimate for a class of prescribed σ2\sigma_2 curvature measure equations, which generalizes the results of the σ2\sigma_2 case in Guan-Li-Li\cite{GLL11} by a different method.

Keywords

Cite

@article{arxiv.1104.4283,
  title  = {A Minimal Value Problem and the Prescribed $\sigma_2$ Curvature Measure Problem},
  author = {Chuanqiang Chen},
  journal= {arXiv preprint arXiv:1104.4283},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T17:57:24.795Z