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arXiv 1602.087572016-02math.AP

各向异性平台问题的直接解法

A direct approach to the anisotropic Plateau problem

Camillo De Lellis, Antonio De Rosa, Francesco Ghiraldin

备注：: 14 pages

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摘要：

我们证明了一个紧凑性原则的各向异性制定的高原问题的余维1，沿着相同的路线以前的作品的作者[DGM14，DPDRG15]。特别是，我们执行一个新的策略来证明最小集合的可求正性，避免Preiss的可求正性定理[Pre87]。

英文摘要：

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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