A Minimal Value Problem and the Prescribed σ2σ_2 Curvature Measure Problem

preprint2011arXivOpen access

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 σ2σ_2 curvature measure equations, which generalizes the results of the σ2σ_2 case in Guan-Li-Li\cite{GLL11} by a different method.

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