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.
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 Nov 2023 02:45 |
| 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