# A direct approach to the anisotropic Plateau problem

De Lellis, Camillo; De Rosa, Antonio; Ghiraldin, Francesco (2017). A direct approach to the anisotropic Plateau problem. Advances in Calculus of Variations, 0(0):Epub ahead of print.

## 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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