Email this article On a Kantorovich Problem with a Density Constraint
- Authors: Doledenok A.N.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 39-47
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151104
- DOI: https://doi.org/10.1134/S0001434618070052
- ID: 151104
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Abstract
The Kantorovich optimal transport problemwith a density constraint onmeasures 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.
About the authors
A. N. Doledenok
Lomonosov Moscow State University
Author for correspondence.
Email: anya11235@mail.ru
Russian Federation, Moscow, 119991
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