The Plateau problem from the perspective of optimal transport

Résumé : Both optimal transport and minimal surfaces have received much attention in recent years. We show that the methodology introduced by Kantorovich on the Monge problem can, surprisingly, be adapted to questions involving least area, e.g. Plateau type problems as investigated by Federer.
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https://hal.archives-ouvertes.fr/hal-02197057
Contributor : Petru Mironescu <>
Submitted on : Monday, August 5, 2019 - 5:32:37 PM
Last modification on : Monday, August 19, 2019 - 1:04:08 PM

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  • HAL Id : hal-02197057, version 2

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Haïm Brezis, Petru Mironescu. The Plateau problem from the perspective of optimal transport. 2019. ⟨hal-02197057v2⟩

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