Regularity of optimal transport maps on multiple products of spheres
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Publication:2375894
DOI10.4171/JEMS/388zbMath1268.49053arXiv1006.1957WikidataQ112632007 ScholiaQ112632007MaRDI QIDQ2375894
Young-Heon Kim, Robert J. McCann, Alessio Figalli
Publication date: 25 June 2013
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.1957
Variational problems in a geometric measure-theoretic setting (49Q20) Global Riemannian geometry, including pinching (53C20)
Related Items (18)
Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries ⋮ Stability results on the smoothness of optimal transport maps with general costs ⋮ On the Degeneracy of Optimal Transportation ⋮ The Monge–Ampère equation and its link to optimal transportation ⋮ A glimpse into the differential topology and geometry of optimal transport ⋮ On the Ma-Trudinger-Wang curvature on surfaces ⋮ Hölder continuity and injectivity of optimal maps ⋮ Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces ⋮ A perturbation argument for a Monge-Ampère type equation arising in optimal transportation ⋮ On the local geometry of maps with c-convex potentials ⋮ Partial \(W^{2,p}\) regularity for optimal transport maps ⋮ Boundary \(\varepsilon\)-regularity in optimal transportation ⋮ On local well-posedness of the thin-film equation via the Wasserstein gradient flow ⋮ Continuity and injectivity of optimal maps ⋮ Regularity of optimal transport maps on locally nearly spherical manifolds ⋮ Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds ⋮ Boundary $C^{1,\alpha}$ regularity of an optimal transport problem with cost close to $-x\cdot y$ ⋮ Partial regularity for optimal transport maps
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