A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions
偏微分方程分析
2007-05-23 v2 最优化与控制
摘要
This paper discusses the frequency function of multiple-valued Dirichlet minimizing functions in the special case when the domain and range are both two dimensional. It shows that the frequency function must be of value k/2 for some nonnegative integer k. Futhermore, by looking at the blowing-up functions, we characterize the local behavior of the original Dirichlet minimizing function.
引用
@article{arxiv.math/0607576,
title = {A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions},
author = {Wei Zhu},
journal= {arXiv preprint arXiv:math/0607576},
year = {2007}
}
备注
21 pages