The Plateau problem from the perspective of optimal transport

DOI10.1016/j.crma.2019.07.007zbMath1426.49046OpenAlexW2969550811WikidataQ127335848 ScholiaQ127335848MaRDI QIDQ2324100

Petru Mironescu, Haim Brezis

Publication date: 13 September 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2019.07.007

zbMATH Keywords

optimal transportPlateau problemMonge-Kantorovich problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods for elliptic systems (35J50)

Related Items

Space-time integral currents of bounded variation, Minimal BV-liftings of \(W^{1, 1} (\Omega, \mathbb{S}^1)\) maps in 2D are ``often unique

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