Center Manifold: a case study
Analysis of PDEs
2011-03-18 v1
Abstract
Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,\alpha} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory. This study is intended as a first step towards the understanding of Almgren's construction in its full generality.
Cite
@article{arxiv.1103.3460,
title = {Center Manifold: a case study},
author = {Camillo De Lellis and Emanuele Nunzio Spadaro},
journal= {arXiv preprint arXiv:1103.3460},
year = {2011}
}
Comments
24 pages