Sign in
Back
The Plateau problem from the perspective of optimal transport
Journal article   Open access

The Plateau problem from the perspective of optimal transport

Haïm Brezis and Petru Mironescu
Comptes Rendus. Mathématique, Vol.357(7), pp.597-612
07/2019
DOI: https://doi.org/10.1016/j.crma.2019.07.007

Abstract

Classical Analysis and ODEs Mathematics
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.
url
https://doi.org/10.1016/j.crma.2019.07.007View
Version of Record (VoR) Open

Metrics

11 Record Views
4 Times Cited - Web of Science

Details