8 citations · 29 across the 5 of their papers we have counts for
5 papers
Regularity of Dirichlet nearly minimizing multiple-valued functions
Jordan Goblet, Wei Zhu
In this paper, we extend the related notions of Dirichlet quasiminimizer, minimizer and almost minimizer to the framework of multiple-valued functions in the sense of Almgren a…
A regularity theory for multiple-valued Dirichlet minimizing maps
Wei Zhu
This paper discusses the regularity of multiple-valued Dirichlet minimizing maps into the sphere. It shows that even at branched point, as long as the normalized energy is small en…
A Theorem on Frequency Function for Multiple-Valued Dirichlet Minimizing Functions
Wei Zhu
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…
Analysis on Metric Space Q
Wei Zhu
In this paper, we show that the metric space Q is a positively-curved space (PC-space) in the sense of Alexandrov. We also discuss some issues like metric tangent cone and exponent…
An Energy Reducing Flow for Multiple-Valued Functions
Wei Zhu
By the method of discrete Morse flows, we construct an energy reducing multiple-valued function flow. The flow we get is Holder continuous with respect to the L-2 norm. We also giv…