Title | Center manifold: a case study |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | De Lellis C., Spadaro E. |
Journal | Discrete and Continuous Dynamical Systems - Series A |
Volume | 31 |
Pagination | 1249–1272 |
Date Published | December |
Publisher | Discrete and Continuous Dynamical Systems |
Type of Article | Interior regularity |
ISSN | 1078-0947 |
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. |
Notes | To appear in the Proceedings for the 2009 Conference in honor of De Giorgi and Stampacchia, held in Erice Discrete and Continuous Dynamical Systems Volume 31, Issue 4, Pages : 1249 - 1272, 2011 |
URL | https://www.aimsciences.org/journals/related.jsp?paperID=5130 |
DOI | 10.3934/dcds.2011.31.1249 |
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