A direct approach to the anisotropic Plateau problem-Reference-Cited by-同舟云学术

A direct approach to the anisotropic Plateau problem

Published:2019-04-01 Issue:2 Volume:12 Page:211-223
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
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Author:

De Lellis Camillo¹,De Rosa Antonio¹,Ghiraldin Francesco²

Affiliation:

1. Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, CH-8057Zürich, Switzerland

2. Institut für Mathematik, Universität Zürich, Winterthurerstr. 190, CH-8057Zürich, Switzerland; and Max Planck Institut for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany

Abstract

AbstractWe 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].

Funder

FP7 Ideas: European Research Council

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2016-0057/pdf

Reference48 articles.

1. Condensation of polyhedric structures onto soap films;Preprint,2009

2. A characterization of the area integrand;Symposia Mathematica. Vol. XIV,1974