On interior <inline-formula><tex-math id="M1">\begin{document} $C^2$ \end{document}</tex-math></inline-formula>-estimates for the Monge-Ampère equation

Abstract

An approach towards apriori interior C 2-estimates for the Monge-Ampère equation based on a mean-value inequality for nonnegative subsolutions to the linearized Monge-Ampère equation is implemented.