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 -regularity result for optimal transport maps between continuous densities. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 971–979DOI 10.4171/RLM/922