Interior Regularity for Two-Dimensional Stationary Q-Valued Maps

Author:

Hirsch JonasORCID,Spolaor Luca

Abstract

AbstractWe prove that 2-dimensional Q-valued maps that are stationary with respect to outer and inner variations of the Dirichlet energy are Hölder continuous and that the dimension of their singular set is at most one. In the course of the proof we establish a strong concentration-compactness theorem for equicontinuous maps that are stationary with respect to outer variations only, and which holds in every dimensions.

Funder

Division of Mathematical Sciences

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Reference17 articles.

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