On the number of singular points for planar multivalued harmonic\n functions

2016/01/08 by Francesco Ghiraldin, Ghiraldin, Francesco, Luca Spolaor +1
Mathematics · Computer Science · #Mathematical Approximation and Integration #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1601.01967

Abstract

In this note we give a quantitative estimate on the number of singular points\nof multiplicity Q of a 2-dimensional Q-valued energy minimizing map, in\nterms of the value of its frequency function.\n

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