Regularity of Dirichlet nearly minimizing multiple-valued functions

Details Regularity of Dirichlet nearly minimizing multiple-valued functions Regularity of Dirichlet nearly minimizing multiple-valued functions

2007-06-07

arxiv.org/abs/0706.1077v1

Mathematics

Analysis of PDEs

25 pages + 2 figures

Scientific paper

In this paper, we extend the related notions of Dirichlet quasiminimizer,
$\omega-$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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