Calculus of Variations and Geometric Measure Theory

C. De Lellis - E. Spadaro

Center manifold: a case study

created by delellis on 06 May 2011
modified on 02 Jul 2013



Inserted: 6 may 2011
Last Updated: 2 jul 2013

Journal: Discrete Contin. Dyn. Syst.
Volume: 31
Number: 4
Pages: 1249-1272
Year: 2011

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Following Almgren's construction of the \textit{center manifold} in his Big regularity paper, we show the $C^{3,\alpha}$ regularity of density one points of area-minimizing currents without the use of the Schauder theory. This study is intended as a first step towards the understanding of Almgren's center manifold construction.