Partial regularity results in optimal transportation

G. De Philippis, A. Figalli

Research output: Chapter in Book/Report/Conference proceedingChapter


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.

Original languageEnglish (US)
Title of host publicationSpringer INdAM Series
PublisherSpringer International Publishing
Number of pages15
StatePublished - 2014

Publication series

NameSpringer INdAM Series
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

ASJC Scopus subject areas

  • General Mathematics


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