Geodesic
Representation of the Polar Cone of Convex Functions and Applications
Journal of convex analysis, Tome 15 (2008) no. 3, pp. 535-546

Voir la notice de l'article provenant de la source Heldermann Verlag

Using a result of Y. Brenier [Comm. Pure Appl. Math. 44 (1991) 375--417] we give a representation of the polar cone of monotone gradient fields in terms of measure-preserving maps, or bistochastic measures. Some applications to variational problems subject to a convexity constraint are given.
Mots-clés : Convexity constraint, Euler-Lagrange equation, measure-preserving maps, bistochastic measures 
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     title = {Representation of the {Polar} {Cone} of {Convex} {Functions} and {Applications}},
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G. Carlier; T. Lachand-Robert. Representation of the Polar Cone of Convex Functions and Applications. Journal of convex analysis, Tome 15 (2008) no. 3, pp. 535-546. http://geodesic.mathdoc.fr/item/JCA_2008_15_3_JCA_2008_15_3_a6/