# On the number of singular points for planar multivalued harmonic functions

created by ghiraldin on 08 Jan 2016

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Submitted Paper

Inserted: 8 jan 2016
Last Updated: 8 jan 2016

Year: 2016

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.