Calculus of Variations and Geometric Measure Theory

C. De Lellis - A. De Rosa - F. Ghiraldin

A direct approach to the anisotropic Plateau's problem

created by derosa on 01 Mar 2016
modified on 11 Jan 2022


Published Paper

Inserted: 1 mar 2016
Last Updated: 11 jan 2022

Journal: Adv. Calc. Var.
Year: 2018
Links: arxiv


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. In particular, we perform a new strategy for proving the rectifiability of the minimal set, avoiding the Preiss' Rectifiability Theorem.