English

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

Analysis of PDEs 2020-11-23 v2

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.

Keywords

Cite

@article{arxiv.2005.06785,
  title  = {An $\epsilon$--regularity result for optimal transport maps between continuous densities},
  author = {Michael Goldman},
  journal= {arXiv preprint arXiv:2005.06785},
  year   = {2020}
}
R2 v1 2026-06-23T15:32:19.921Z