Equality between Monge and Kantorovich multimarginal problems with Coulomb cost

Author:

Colombo Maria,Di Marino Simone

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference15 articles.

1. Ambrosio, L.: Lecture Notes on Optimal Transport Problems in Mathematical Aspects of Evolving Interfaces. Lecture Notes in Mathematics, vol. 1812, pp. 1–52 (2003)

2. Ambrosio, L., Colombo, M., Di Marino, S.: Sobolev Spaces in Metric Measure Spaces: Reflexivity and Lower Semicontinuity of Slope, preprint

3. Buttazzo, G., De Pascale, L., Gori-Giorgi, P.: Optimal transport formulation of electronic density-functional theory. Phys. Rev. A 85, 062502 (2012)

4. Christ, M.: A $$T(b)$$ T ( b ) theorem with remarks on analytic capacity and the Cauchy integral. Colloq. Math. 60/61, 601–628 (1990)

5. Colombo, M.: Di Marino, S., De Pascale, L.: Existence of Multimarginal Optimal Transport Maps for 1-Dimensional Repulsive Costs, preprint, http://cvgmt.sns.it/paper/2200/

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