Partial regularity results in optimal transportation

This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a “singular set” of measure zero.

10.1007/978-3-319-05254-0_21

http://hdl.handle.net/20.500.11767/75192

info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85028591483

http://www.springer.com/series/10283?detailsPage=titles

http://cvgmt.sns.it/paper/2371/

closed access