A continuous cost function for which the minima in the Monge and Kantorovich problems are not equal

DOI10.1134/S106456241504016XzbMath1333.49065MaRDI QIDQ892726

A. N. Kalinin, Vladimir I. Bogachev

Publication date: 12 November 2015

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

zbMATH Keywords

Monge problemKantorovich problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (2)

On the equality of values in the Monge and Kantorovich problems ⋮ Kantorovich problems with a parameter and density constraints

Cites Work

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• On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
• Measurable functions and almost continuous functions
• A Note on the Equality in the Monge and Kantorovich Problems
• The Monge-Kantorovich problem: achievements, connections, and perspectives

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