Center manifold: A case study
Copyright policy )Center manifold: A case study
Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,��} 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.
24 pages
- Sapienza University of Rome Italy
- University of Zurich Switzerland
- University of Bonn Germany
10123 Institute of Mathematics, 510 Mathematics, Mathematics - Analysis of PDEs, 2604 Applied Mathematics, 2603 Analysis, 2607 Discrete Mathematics and Combinatorics, FOS: Mathematics, Area minimizing currents; minimal surfaces; regularity, Analysis of PDEs (math.AP)
10123 Institute of Mathematics, 510 Mathematics, Mathematics - Analysis of PDEs, 2604 Applied Mathematics, 2603 Analysis, 2607 Discrete Mathematics and Combinatorics, FOS: Mathematics, Area minimizing currents; minimal surfaces; regularity, Analysis of PDEs (math.AP)
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