Improved estimate of the singular set of Dir-minimizing Q-valued functions

Matteo Focardi, Andrea Marchese, and Emanuele Spadaro

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Submission date: 03. Sep. 2014
Pages: 32
published in: Journal of functional analysis, 268 (2015) 11, p. 3290-3325 
DOI number (of the published article): 10.1016/j.jfa.2015.02.011
Bibtex
with the following different title: Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
MSC-Numbers: 49Q15, 49Q05, 49N60
Keywords and phrases: Q-valued Functions, Quantitative Stratication, Area Minimizing Currents
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Abstract:
In this note we give an estimate of the Minkowski dimension of the set of higher multiplicity points of Almgren's Dir-minimizing multiple valued functions, thus improving the previously known estimate of the Hausdorff dimension.