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arXiv · 1602.08757

A direct approach to the anisotropic Plateau problem

Camillo De Lellis·Antonio De Rosa·Francesco Ghiraldin
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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 [DGM14, DPDRG15]. In particular, we perform a new strategy for proving the rectifiability of the minimal set, avoiding the Preiss' Rectifiability Theorem [Pre87].

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Camillo De Lellis, Antonio De Rosa, Francesco Ghiraldin. 2016-02-28. A direct approach to the anisotropic Plateau problem. https://arxiv.org/abs/1602.08757

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