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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115090This 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.21 pagesAnalysis of PDEsOptimization and Control49Q20A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functionstext