A short proof for the interior Hölder continuity of two-dimensional stationary Q-valued maps

Abstract

The aim of this article is to present a concise proof for the interior Hölder continuity of two-dimensional stationary Q-valued maps. The proof employs a blow-up argument based on the monotonicity formula for the frequency function, along with the oscillation estimate from the author's previous article, which leverages the conformality of the modified maps.

It requires further modification