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The five gradients inequality for non quadratic costs
Thibault Caillet1
1 Institut Camille Jordan, Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 715-721.

We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form c(x,y)=h(x-y) where h is a C 1 strictly convex radially symmetric function.

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DOI : 10.5802/crmath.444

Thibault Caillet 1

1 Institut Camille Jordan, Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     doi = {10.5802/crmath.444},
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Thibault Caillet. The five gradients inequality for non quadratic costs. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 715-721. doi : 10.5802/crmath.444. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.444/

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