Following Almgren’s construction of the center manifold in his Big regularity paper, we show the C^{3,α} 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.
Center manifold: a case study / DE LELLIS, Camillo; Spadaro, EMANUELE NUNZIO. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 31:4(2011), pp. 1249-1272. [10.3934/dcds.2011.31.1249]
Center manifold: a case study
Camillo De Lellis;Emanuele Spadaro
2011
Abstract
Following Almgren’s construction of the center manifold in his Big regularity paper, we show the C^{3,α} 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.File allegati a questo prodotto
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