Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

Maria Colombo; Federico Stra

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arXiv · 1507.08522

Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

Maria Colombo·Federico Stra

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Abstract

We disprove a conjecture in Density Functional Theory, relative to multimarginal optimal transport maps with Coulomb cost. We also provide examples of maps satisfying optimality conditions for special classes of data.

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Maria Colombo, Federico Stra. 2015-07-30. Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data. https://arxiv.org/abs/1507.08522

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