Calculus of Variations and Geometric Measure Theory
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M. Colombo - F. Stra

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

created by stra on 30 Jul 2015
modified on 07 Jun 2021


Accepted Paper

Inserted: 30 jul 2015
Last Updated: 7 jun 2021

Journal: Math. Models Methods Appl. Sci.
Year: 2015

ArXiv: 1507.08522 PDF


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.

Keywords: Monge-Kantorovich problem, optimal transport problem, Density Functional Theory, spherically symmetric data


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