Abstract
In this article, 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 Hölder regularity results. Concerning the regularity of the graph, we show that, in contrast to absolute minimizers, there are examples with various large complicated branching sets.
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Goblet, J., Zhu, W. Regularity of Dirichlet Nearly Minimizing Multiple-Valued Functions. J Geom Anal 18, 765–794 (2008). https://doi.org/10.1007/s12220-008-9025-z
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DOI: https://doi.org/10.1007/s12220-008-9025-z