Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem
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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• Mathematics Subject Classification: 60E15, 90C40, 49N15 •
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2011
ISSN: 0036-1410,1095-7154
DOI: 10.1137/100804917