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On the number of singular points for planar multivalued harmonic 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.

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Correspondence to Francesco Ghiraldin.

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Ghiraldin, F., Spolaor, L. On the number of singular points for planar multivalued harmonic functions. manuscripta math. 154, 513–525 (2017). https://doi.org/10.1007/s00229-017-0920-0

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