Calculus of Variations and Geometric Measure Theory

G. De Philippis - A. Figalli

The Monge-Ampère equation and its link to optimal transportation

created by dephilipp on 23 Oct 2013
modified on 30 Oct 2017


Accepted Paper

Inserted: 23 oct 2013
Last Updated: 30 oct 2017

Journal: Bull. Amer. Math. Soc.
Year: 2014

ArXiv: 1310.6167 PDF


We survey the (old and new) regularity theory for the Monge-Amp\`ere equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Amp\`ere type equations arising in that context.