On the Monge mass transfer problem
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Trudinger, Neil
Wang, Xu-Jia
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Springer
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The Monge mass transfer problem, as proposed by Monge in 1781, is to move points from one mass distribution to another so that a cost functional is minimized among all measure preserving maps. The existence of an optimal mapping was proved by Sudakov in 1
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Calculus of Variations and Partial Differential Equations
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2037-12-31
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