An ε−regularity result for optimal transport maps between continuous densities

Michael Goldman (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Equations aux dérivées partielles [math.AP]

Michael Goldman. An ε−regularity result for optimal transport maps between continuous densities. Rendiconti Lincei. Matematica e Applicazioni, In press. ⟨hal-02568424v3⟩