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De Lellis, Camillo; Spadaro, E (2011). Center manifold: A case study. Discrete and Continuous Dynamical Systems - Series A, 31(4):1249-1272.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Discrete Mathematics and Combinatorics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | December 2011 |
| Deposited On: | 29 Nov 2012 15:26 |
| Last Modified: | 08 Sep 2024 01:35 |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1078-0947 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.3934/dcds.2011.31.1249 |
De Lellis, Camillo