Existence results for minimizers of parametric elliptic functionals
Analysis of PDEs
2019-02-15 v2
Abstract
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codimension, in the same spirit of the previous works of the authors \cite{DelGhiMag,DePDeRGhi,DeLDeRGhi16}. In particular, we perform a new strategy for the proof of the rectifiability of the minimal set, based on the new anisotropic counterpart of the Allard rectifiability theorem proved by the authors in \cite{DePDeRGhi2}. As a consequence we provide a new proof of Reifenberg existence theorem.
Cite
@article{arxiv.1704.07801,
title = {Existence results for minimizers of parametric elliptic functionals},
author = {Guido De Philippis and Antonio De Rosa and Francesco Ghiraldin},
journal= {arXiv preprint arXiv:1704.07801},
year = {2019}
}