English

A direct approach to the anisotropic Plateau problem

Analysis of PDEs 2017-04-18 v2

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 [DGM14, DPDRG15]. In particular, we perform a new strategy for proving the rectifiability of the minimal set, avoiding the Preiss' Rectifiability Theorem [Pre87].

Keywords

Cite

@article{arxiv.1602.08757,
  title  = {A direct approach to the anisotropic Plateau problem},
  author = {Camillo De Lellis and Antonio De Rosa and Francesco Ghiraldin},
  journal= {arXiv preprint arXiv:1602.08757},
  year   = {2017}
}

Comments

14 pages

R2 v1 2026-06-22T12:59:29.168Z