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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{MZM_2018_104_1_a4,
     author = {A. N. Doledenok},
     title = {On a {Kantorovich} {Problem} with a {Density} {Constraint}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {45--55},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a4/}
}
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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/