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arXiv:1507.08522 [math.AP]AbstractReferencesReviewsResources

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

Maria Colombo, Federico Stra

Published 2015-07-30Version 1

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.

Comments: 21 pages, 5 figures
Categories: math.AP, math-ph, math.MP
Subjects: 35Q40, 49Q20, 49S05, 81Q05
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