Calculus of Variations and Geometric Measure Theory

M. Goldman

An $\varepsilon-$regularity result for optimal transport maps between continuous densities

created by goldman on 09 May 2020
modified on 09 Nov 2020


Accepted Paper

Inserted: 9 may 2020
Last Updated: 9 nov 2020

Journal: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Year: 2020


The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.