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Transport and concentration problems with interaction effects

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Abstract

After presenting an overview about variational problems on probability measures for functionals involving transport costs and extra terms encouraging or discouraging concentration, we look for optimality conditions, regularity properties and explicit computations in the case where Wasserstein distances and interaction energies are considered.

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Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Filippo Santambrogio

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  1. Filippo Santambrogio
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Correspondence to Filippo Santambrogio.

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Santambrogio, F. Transport and concentration problems with interaction effects. J Glob Optim 38, 129–141 (2007). https://doi.org/10.1007/s10898-006-9087-z

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  • DOI: https://doi.org/10.1007/s10898-006-9087-z

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