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On nonlinear Kantorovich problems with density constraints

Moscow Mathematical Journal. 2023. Vol. 23. No. 3. P. 285–307.
Vladimir I. Bogachev, Popova S., Airat V. Rezbaev

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.
 

Research target: Mathematics
Language: English
Full text
Text on another site
Keywords: Conditional measure optimal transportation problemdensity constraintnonlinear Kantorovich problemнелинейная задача Канторовича
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