Preprint 91/2014

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

Matteo Focardi, Andrea Marchese, and Emanuele Spadaro

Contact the author: Please use for correspondence this email.
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
Download full preprint: PDF (566 kB)

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.

18.10.2019, 02:15