Open access
Date
2023-01Type
- Journal Article
ETH Bibliography
yes
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Abstract
In this note, we extend the regularity theory for monotone measure-preserving maps, also known as optimal transports for the quadratic cost optimal transport problem, to the case when the support of the target measure is an arbitrary convex domain and, on the low-regularity end, between domains carrying certain invariant measures. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000607299Publication status
publishedExternal links
Journal / series
Advanced nonlinear studiesVolume
Pages / Article No.
Publisher
De GruyterSubject
optimal transport maps; Monge-Ampère equation; doubling measures; unbounded supportOrganisational unit
09565 - Figalli, Alessio / Figalli, Alessio
Funding
721675 - Regularity and Stability in Partial Differential Equations (EC)
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ETH Bibliography
yes
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