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

2024/12/20 by Lin, Chun-Chi
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.16400

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.

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• Partial Hölder continuity for Q-valued energy minimizing maps
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• Regularity of coboundaries for non uniformly expanding Markov maps
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