no. G3
Équations aux dérivées partielles
The five gradients inequality for non quadratic costs
Caillet, Thibault1
1Institut Camille Jordan, Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex
Comptes Rendus. Mathématique, Tome 361 (2023) no. G3, 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

Caillet, Thibault  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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     title = {The five gradients inequality for non quadratic costs},
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Caillet, Thibault. The five gradients inequality for non quadratic costs. Comptes Rendus. Mathématique, Tome 361 (2023) no. G3, pp. 715-721. doi: 10.5802/crmath.444

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