\(L^\infty\)-optimal transport for a class of strictly quasiconvex cost functions

DOI10.1016/j.jmaa.2023.127331zbMath1519.49031arXiv2104.08074MaRDI QIDQ6111102

Camilla Brizzi, Anna Kausamo, Luigi De Pascale

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08074

zbMATH Keywords

Wasserstein distancesoptimal transport problem\(L^\infty\)-optimal transportMonge Kantorovich problem

Mathematics Subject Classification ID

Optimal transportation (49Q22)

Cites Work

• \(L^\infty\) estimates in optimal mass transportation
• On the twist condition and \(c\)-monotone transport plans
• Optimal transportation for a quadratic cost with convex constraints and applications
• The \(L^\infty\) optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps
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• A study of the dual problem of the one-dimensional \(L^\infty\)-optimal transport problem with applications
• Duality for the $L^{\infty }$ optimal transport problem
• Duality theorems for marginal problems
• The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps
• A new $L^\infty$ estimate in optimal mass transport
• Optimal Transport
• Optimal transportation on non-compact manifolds

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