On the number of singular points for planar multivalued harmonic functions

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.

References in corpus (2)

• Uniqueness of tangent cones for $2$-dimensional almost minimizing currents
• Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold