Geodesic
A remark on the equality in Monge and Kantorovich problems
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 779-782 Cet article a éte moissonné depuis la source Math-Net.Ru

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The aim of this paper is a generalization of the classic result on the equality between the Monge infimum and the Kantorovich minimum in the optimal mass transportation problem.
Mots-clés : Monge's infimum, mass transportation problem
Keywords: Kantorovich's minimum, Souslin space. 
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A. A. Lipchyus. A remark on the equality in Monge and Kantorovich problems. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 4, pp. 779-782. http://geodesic.mathdoc.fr/item/TVP_2005_50_4_a10/

[1] Rachev S. T., Rüschendorf L., Mass Transportation Problems, v. I, Springer-Verlag, New York, 1998, 508 pp. | MR

[2] Pratelli A., On the equality between Monges's infimum and Kantorovich's minimum in optimal mass transportation, Preprint, Scuola Normale Superiore di Pisa, Pisa, 2004; Ann. Inst. H. Poincaré (to appear)

[3] Bogachev V. I., Osnovy teorii mery, v. 1, 2, “Regulyarnaya i khaoticheskaya dinamika”, M., Izhevsk, 2003; 2-е изд., 2005