Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs
نویسندگان
چکیده
منابع مشابه
Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem
We study a multimarginal optimal transportation problem. Under certain conditions on the cost function and the first marginal, we prove that the solution to the relaxed, Kantorovich version of the problem induces a solution to the Monge problem and that the solutions to both problems are unique. We also exhibit several examples of cost functions under which our conditions are satisfied, includi...
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ژورنال
عنوان ژورنال: Applied Mathematics & Optimization
سال: 2017
ISSN: 0095-4616,1432-0606
DOI: 10.1007/s00245-017-9403-7