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Moscow Mathematical Journal, 2023, Volume 23, Number 3, Pages 285–307 (Mi mmj855)  
This article is cited in 2 scientific papers (total in 2 papers)

On nonlinear Kantorovich problems with density constraints

Vladimir I. Bogachevabcd, Svetlana N. Popovaed, Airat V. Rezbaevd

a Department of Mechanics and Mathematics, Moscow State University, 119991 Moscow, Russia
b Saint Tikhon's Orthodox University, Novokuznetskaya 23b, 115184 Moscow, Russia
c Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
d National Research University Higher School of Economics, Myasnitskaya 20, 101000 Moscow, Russia
e Moscow Institute of Physics and Technology (State University), 9 Institutskiy per., 141700 Dolgoprudny, Moscow Region, Russia
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Abstract: We study Kantorovich type optimal transportation problems that combine two new generalizations introduced and investigated recently by several authors: nonlinearity of cost functions, including dependence on conditional measures of transport plans, and constraints on densities of transport plans. New existence results are established and some counter-examples are constructed.
Key words and phrases: optimal transportation problem, nonlinear Kantorovich problem, density constraint, conditional measure.
Document Type: Article
MSC: 49N15, 49Q20, 28A33
Language: English
Citation: Vladimir I. Bogachev, Svetlana N. Popova, Airat V. Rezbaev, “On nonlinear Kantorovich problems with density constraints”, Mosc. Math. J., 23:3 (2023), 285–307
Citation in format AMSBIB
\Bibitem{BogPopRez23}
\by Vladimir~I.~Bogachev, Svetlana~N.~Popova, Airat~V.~Rezbaev
\paper On nonlinear Kantorovich problems with density constraints
\jour Mosc. Math.~J.
\yr 2023
\vol 23
\issue 3
\pages 285--307
\mathnet{http://mi.mathnet.ru/mmj855}
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