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

Michael Goldman

doi:10.4171/rlm/922

JournalsrlmVol. 31, No. 4pp. 971–979

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

Michael Goldman
Université Paris Diderot – Paris 7, France

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

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Abstract

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.

Cite this article

Michael Goldman, An $ε$ -regularity result for optimal transport maps between continuous densities. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 971–979

DOI 10.4171/RLM/922