A1 Journal article (refereed)
Multi-marginal entropy-transport with repulsive cost (2020)

Gerolin, A., Kausamo, A., & Rajala, T. (2020). Multi-marginal entropy-transport with repulsive cost. Calculus of Variations and Partial Differential Equations, 59(3), Article 90. https://doi.org/10.1007/s00526-020-01735-3

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Publication details

All authors or editorsGerolin, Augusto; Kausamo, Anna; Rajala, Tapio

Journal or seriesCalculus of Variations and Partial Differential Equations



Publication year2020


Issue number3

Article number90


Publication countryGermany

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/68738

Web address of parallel published publication (pre-print)https://arxiv.org/abs/1907.07900


In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the Γ-convergence of the entropy-transport functional to a multi-marginal optimal transport problem with a repulsive cost. We point out that our construction can deal with the case when the space X is a domain in Rd, answering a question raised in Benamou et al. (Numer Math 142:33–54, 2019). Finally, we also prove the entropy-regularized version of the Kantorovich duality.

Keywordspartial differential equationsmathematical optimisation

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Reporting Year2020

JUFO rating2

Last updated on 2024-03-04 at 21:26