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A direct approach to the anisotropic Plateau problem

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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 [9, 10]. In… Click to show full abstract

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].

Keywords: approach anisotropic; plateau problem; anisotropic; direct approach

Journal Title: Advances in Calculus of Variations
Year Published: 2019

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