2 papers
math.FA2024
On the problem of optimal fair exchange
Alexander Kolesnikov, Svetlana Popova
We consider the problem of optimal exchange which can be formulated as a kind of optimal transportation problem. The existence of an optimal solution and a duality theorem for the…
math.FA2024
On uniqueness of an optimal solution to the Kantorovich problem with density constraints
Svetlana Popova
We study optimal transportation problems with constraints on densities of transport plans. We obtain a sharp condition for the uniqueness of an optimal solution to the Kantorovich…