Two-Dimensional Multiple-Valued Dirichlet Minimizing Functions |
| |
| Authors: | Wei Zhu |
| |
| Affiliation: | 1. Departement Mathematik , ETH Zürich , Zürich , Switzerland wei.zhu@math.ethz.ch |
| |
| Abstract: | We give some remarks on two-dimensional multiple-valued Dirichlet minimizing functions, including frequency, classification of branch points and their connections. As an application, we prove that blowing-up functions of a two-dimensional multiple-valued Dirichlet minimizing function are unique. This article is concluded with a boundary regularity theorem for two-dimensional multiple-valued Dirichlet minimizing functions. |
| |
| Keywords: | Branch points Dirichlet minimizing Frequency function Multiple-valued functions |
|
|
