Inserted: 25 apr 2017
Last Updated: 25 apr 2017
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 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 DePDeRGhi2. As a consequence we provide a new proof of Reifenberg existence theorem.