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Center manifold: A case study


De Lellis, C; Spadaro, E (2011). Center manifold: A case study. Discrete and Continuous Dynamical Systems - Series A, 31(4):1249-1272.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:December 2011
Deposited On:29 Nov 2012 15:26
Last Modified:05 Apr 2016 16:07
Publisher:American Institute of Mathematical Sciences
ISSN:1078-0947
Publisher DOI:https://doi.org/10.3934/dcds.2011.31.1249

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