Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF Citations (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mmj855
  • https://www.mathnet.ru/eng/mmj/v23/i3/p285
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:53
    References:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024