Variational approach to regularity of optimal transport maps: general cost functions

DOI10.1007/s40818-021-00106-1zbMath1496.49025arXiv2007.11549OpenAlexW3194749517WikidataQ114218710 ScholiaQ114218710MaRDI QIDQ2119799

Tobias Ried, Maxime Prod'homme, Felix Otto

Publication date: 30 March 2022

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11549

zbMATH Keywords

partial regularityoptimal transportationgeneral cost functions\( \epsilon \)-regularityalmost-minimality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Optimal transportation (49Q22)

Related Items (3)

\(L^\infty\)-estimates in optimal transport for non quadratic costs ⋮ Sharp boundary \(\varepsilon\)-regularity of optimal transport maps ⋮ Geometric linearisation for optimal transport with strongly \(p\)-convex cost

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