On the number of singular points for planar multivalued harmonic functions

Francesco Ghiraldin and Luca Spolaor

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Submission date: 13. Jan. 2016
Pages: 13
published in: Manuscripta mathematica, 154 (2017) 3/4, p. 513-525 
DOI number (of the published article): 10.1007/s00229-017-0920-0
Bibtex
Keywords and phrases: geometric measure theory, regularity for energy minimzing maps, multivalued functions
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Abstract:
In this note we give a quantitative estimate on the number of singular points of multiplicity Q of a 2-dimensional Q-valued energy minimizing map, in terms of the value of its frequency function.