TitleCenter manifold: a case study
Publication TypeJournal Article
Year of Publication2011
AuthorsDe Lellis C., Spadaro E.
JournalDiscrete and Continuous Dynamical Systems - Series A
Volume31
Pagination1249–1272
Date PublishedDecember
PublisherDiscrete and Continuous Dynamical Systems
Type of ArticleInterior regularity
ISSN1078-0947
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

URLhttps://www.aimsciences.org/journals/related.jsp?paperID=5130
DOI10.3934/dcds.2011.31.1249
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