paper

On a higher-integrability estimate for Laplacians of convex solutions to the Monge-Ampère equation

arXiv:2609.20216

Abstract

A maximum principle for certain strictly convex functions belonging to is established and then applied to obtain a $W^{2,1 +\eps}_{\rm loc}(Ω)$-estimate.

arXiv comment10 pages. To appear in Analysis in Theory and Applications