Calculus of Variations and Geometric Measure Theory
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G. De Philippis - A. De Rosa - F. Ghiraldin

Existence results for minimizers of parametric elliptic functionals

created by derosa on 25 Apr 2017



Inserted: 25 apr 2017
Last Updated: 25 apr 2017

Year: 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.


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