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A direct approach to the anisotropic Plateau problem


De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco (2019). A direct approach to the anisotropic Plateau problem. Advances in Calculus of Variations, 12(2):211-223.

Abstract

We prove a compactness principle for the anisotropic formulation of the Plateau problem in codimension one, along the same lines of previous works of the authors [9, 10]. In particular, we perform a new strategy for proving the rectifiability of the minimal set, avoiding Preiss’ Rectifiability Theorem [22].

Abstract

We prove a compactness principle for the anisotropic formulation of the Plateau problem in codimension one, along the same lines of previous works of the authors [9, 10]. In particular, we perform a new strategy for proving the rectifiability of the minimal set, avoiding Preiss’ Rectifiability Theorem [22].

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Analysis
Physical Sciences > Applied Mathematics
Language:English
Date:1 April 2019
Deposited On:28 Feb 2018 07:02
Last Modified:29 Jul 2020 07:01
Publisher:De Gruyter
ISSN:1864-8258
OA Status:Green
Publisher DOI:https://doi.org/10.1515/acv-2016-0057
Project Information:
  • : FunderFP7
  • : Grant ID306247
  • : Project TitleRAM - Regularity theory for area minimizing currents
  • : FunderSNSF
  • : Grant ID200020_146349
  • : Project TitleCalculus of variations and fluid dynamics

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