Regularity of Dirichlet nearly minimizing multiple-valued functions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130014In 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 figuresAnalysis of PDEsRegularity of Dirichlet nearly minimizing multiple-valued functionstext