Geodesic
On a Kantorovich Problem with a Density Constraint
Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 45-55.

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The Kantorovich optimal transport problem with a density constraint on measures on an infinite-dimensional space is considered. In this setting, the admissible transport plan is nonnegative and majorized by a given constraint-function. The existence and the uniqueness of a solution of this problem are proved.
Keywords: Kantorovich problem, constrained problem, infinite-dimensional analysis.
Mots-clés : optimal transport 
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A. N. Doledenok. On a Kantorovich Problem with a Density Constraint. Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 45-55. http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a4/

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