Publication: A direct approach to the anisotropic Plateau problem
A direct approach to the anisotropic Plateau problem
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De Lellis, C., De Rosa, A., & Ghiraldin, F. (2019). A direct approach to the anisotropic Plateau problem. Advances in Calculus of Variations, 12(2), 211–223. https://doi.org/10.1515/acv-2016-0057
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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 [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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De Lellis, C., De Rosa, A., & Ghiraldin, F. (2019). A direct approach to the anisotropic Plateau problem. Advances in Calculus of Variations, 12(2), 211–223. https://doi.org/10.1515/acv-2016-0057