Browsing by Author "Zhu, Wei"

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    Minimizing and flow problems for multiple-valued functions and maps
    (2007) Zhu, Wei; Hardt, Robert M.; Wolf, Michael
    We consider variational problems in the setting of multiple-valued functions (with a fixed number of values) and multiple-valued maps into manifolds. In particular, for an energy minimizing map into a sphere, we prove that the interior singular set is at least of codimension three. We also construct an energy reducing flow for multiple-valued functions, which is H older continuous with respect to its L 2 norms. Some questions concerning regularity and vanishing of branch points are also addressed.