Abstract
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Ampère type equations arising in that context.
Original language | English (US) |
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Pages (from-to) | 527-580 |
Number of pages | 54 |
Journal | Bulletin of the American Mathematical Society |
Volume | 51 |
Issue number | 4 |
DOIs | |
State | Published - 2014 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics