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arxiv: 1602.08757 · v2 · pith:TRGMDNPEnew · submitted 2016-02-28 · 🧮 math.AP

A direct approach to the anisotropic Plateau problem

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keywords anisotropicplateauproblemrectifiabilityalongapproachauthorsavoiding
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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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