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arxiv: 1601.01967 · v1 · pith:BB7YAALUnew · submitted 2016-01-08 · 🧮 math.AP

On the number of singular points for planar multivalued harmonic functions

classification 🧮 math.AP
keywords numberpointssingulardimensionalenergyestimatefrequencyfunction
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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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