Calculus of Variations and Geometric Measure Theory

F. Ghiraldin - L. Spolaor

On the number of singular points for planar multivalued harmonic functions

created by ghiraldin on 08 Jan 2016
modified by spolaor on 05 Oct 2017


Accepted Paper

Inserted: 8 jan 2016
Last Updated: 5 oct 2017

Journal: Manuscripta Math.
Year: 2016


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.