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

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

2006-07-23

arxiv.org/abs/math/0607576v2

Mathematics

Analysis of PDEs

21 pages

Scientific paper

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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