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On the local structure of optimal measures in the multi-marginal optimal transportation problem

On the local structure of optimal measures in the multi-marginal optimal transportation problem We consider an optimal transportation problem with more than two marginals. We use a family of semi-Riemannian metrics derived from the mixed, second order partial derivatives of the cost function to provide upper bounds for the dimension of the support of the solution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Calculus of Variations and Partial Differential Equations Springer Journals

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