A short proof for the interior H\"older continuity of two-dimensional stationary Q-valued maps

Abstract

The aim of this article is to present a concise proof for the interior H\"older 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.

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