Boundary \(\varepsilon\)-regularity in optimal transportation

DOI10.1016/j.aim.2014.12.032zbMath1307.49045arXiv1412.5747OpenAlexW1980400844WikidataQ112631944 ScholiaQ112631944MaRDI QIDQ2253805

Alessio Figalli, Shibing Chen

Publication date: 13 February 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5747

zbMATH Keywords

optimal transportationboundary regularityMonge-Ampère type equations

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (7)

Stability results on the smoothness of optimal transport maps with general costs ⋮ Sharp boundary \(\varepsilon\)-regularity of optimal transport maps ⋮ On the (in)stability of the identity map in optimal transportation ⋮ A Perturbative Approach to the Parabolic Optimal Transport Problem ⋮ Partial \(W^{2,p}\) regularity for optimal transport maps ⋮ Global regularity of optimal mappings in non-convex domains ⋮ Boundary $C^{1,\alpha}$ regularity of an optimal transport problem with cost close to $-x\cdot y$

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