Center Manifold: a case study

Details Center Manifold: a case study Center Manifold: a case study

2011-03-17

arxiv.org/abs/1103.3460v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

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.

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