Regularity of Dirichlet nearly minimizing multiple-valued functions

Goblet, Jordan;Zhu, Wei
(2008) Journal of Geometric Analysis — Vol. 18, n° 3, p. 765-794 (2008)

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Authors
  • Goblet, JordanUCLouvain
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  • Zhu, Wei
    Author
Abstract
In this article, we extend the related notions of Dirichlet quasiminimizer, omega-minimizer and almost minimizer to the framework of multiple-valued functions in the sense of Almgren and prove Holder regularity results. Concerning the regularity of the graph, we show that, in contrast to absolute minimizers, there are examples with various large complicated branching sets.
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Goblet, J., & Zhu, W. (2008). Regularity of Dirichlet nearly minimizing multiple-valued functions. Journal of Geometric Analysis, 18(3), 765-794. https://doi.org/10.1007/s12220-008-9025-z (Original work published 2008)