Regularity of Dirichlet nearly minimizing multiple-valued functions
Analysis of PDEs
2007-06-11 v1
Abstract
In this paper, we extend the related notions of Dirichlet quasiminimizer, 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.
Keywords
Cite
@article{arxiv.0706.1077,
title = {Regularity of Dirichlet nearly minimizing multiple-valued functions},
author = {Jordan Goblet and Wei Zhu},
journal= {arXiv preprint arXiv:0706.1077},
year = {2007}
}