Optimal transport of closed differential forms for convex costs

DOI10.1016/J.CRMA.2015.09.015zbMath1334.49142OpenAlexW1925586070MaRDI QIDQ5965091

Olivier Kneuss, Bernard Dacorogna, Wilfrid Gangbo

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.09.015

zbMATH Keywords

differential formsoptimal transportconvex costs

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Integral geometry (53C65)

Related Items (9)

The Pullback Equation ⋮ A potential approach for planning mean-field games in one dimension ⋮ Transportation of closed differential forms with non-homogeneous convex costs ⋮ Regularity for elliptic systems of differential forms and applications ⋮ Symplectic factorization, Darboux theorem and ellipticity ⋮ On Optimal Transport of Matrix-Valued Measures ⋮ Optimal transport of closed differential forms for convex costs ⋮ An integrable example of gradient flow based on optimal transport of differential forms ⋮ Quasiconvexity and relaxation in optimal transportation of closed differential forms

Cites Work

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• The pullback equation for differential forms
• Regularity for a class of nonlinear elliptic systems
• Symplectic factorization, Darboux theorem and ellipticity
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• Optimal transport of closed differential forms for convex costs

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