Regularity of Dirichlet nearly minimizing multiple-valued functions

Jordan Goblet; Wei Zhu

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arXiv · 0706.1077

Regularity of Dirichlet nearly minimizing multiple-valued functions

Jordan Goblet·Wei Zhu

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Abstract

In this paper, we extend the related notions of Dirichlet quasiminimizer, $ω-$minimizer and almost minimizer to the framework of multiple-valued functions in the sense of Almgren and prove Holder regularity results. We also give examples of those minimizers with various branch sets.

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Jordan Goblet, Wei Zhu. 2007-06-07. Regularity of Dirichlet nearly minimizing multiple-valued functions. https://arxiv.org/abs/0706.1077

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