Le problème de Plateau vu dans la perspective du transport optimal

Translated title of the contribution: The Plateau problem from the perspective of optimal transport

Haim Brezis, Petru Mironescu

Research output: Contribution to journalArticle

Abstract

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.

Translated title of the contributionThe Plateau problem from the perspective of optimal transport
Original languageFrench
Pages (from-to)597-612
Number of pages16
JournalComptes Rendus Mathematique
Volume357
Issue number7
DOIs
StatePublished - Jul 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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