Regularity of Dirichlet nearly minimizing multiple-valued functions
Abstract
Description
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.
25 pages + 2 figures
25 pages + 2 figures