Higher integrability and approximation of minimal currents
Analysis of PDEs
2013-06-11 v3
Abstract
We give a new, simpler proof of the main approximation theorem for area minimizing current contained in Almgren's Big regularity paper. Our proof relies on a new estimate concerning the higher integrability of the quantity called here the excess density, which in turn we link to an analogous property of harmonic multiple valued functions.
Cite
@article{arxiv.0910.5878,
title = {Higher integrability and approximation of minimal currents},
author = {Camillo De Lellis and Emanuele Nunzio Spadaro},
journal= {arXiv preprint arXiv:0910.5878},
year = {2013}
}
Comments
This paper has been withdrawn by the authors, because an extended new version (where the results are proven in general Riemannian manifolds) has been posted: cf. article 1306.1195