A Minimal Value Problem and the Prescribed $σ_2$ Curvature Measure Problem

Mathematics – Analysis of PDEs

Scientific paper

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12 pages

Scientific paper

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

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