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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
3/2016

On the number of singular points for planar multivalued harmonic functions

Francesco Ghiraldin and Luca Spolaor

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.

Received:
Jan 13, 2016
Published:
Jan 15, 2016
Keywords:
geometric measure theory, regularity for energy minimzing maps, multivalued functions

Related publications

inJournal
2017 Repository Open Access
Francesco Ghiraldin and Luca Spolaor

On the number of singular points for planar multivalued harmonic functions

In: Manuscripta mathematica, 154 (2017) 3/4, pp. 513-525