A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions

Wei Zhu

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A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions

Wei Zhu

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Abstract

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.

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BibTeX RIS

Wei Zhu. 2006-07-26. A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions. https://arxiv.org/abs/math/0607576

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