A variational proof of partial regularity for optimal transportation maps

DOI10.24033/asens.2444zbMath1465.35263arXiv1704.05339OpenAlexW3004966993MaRDI QIDQ3389200

Felix Otto, Michael Goldman

Publication date: 10 May 2021

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05339

zbMATH Keywords

partial regularityMonge-Ampère equationoptimal transportation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Monge-Ampère equations (35J96)

Related Items (8)

Variational approach to regularity of optimal transport maps: general cost functions ⋮ Uniform energy distribution in a pattern-forming system of surface charges ⋮ \(L^\infty\)-estimates in optimal transport for non quadratic costs ⋮ On the regularity of optimal transports between degenerate densities ⋮ Regularity of optimal transport between planar convex domains ⋮ Geometric linearisation for optimal transport with strongly \(p\)-convex cost ⋮ Free discontinuities in optimal transport ⋮ An \(\varepsilon\)-regularity result for optimal transport maps between continuous densities

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