Minimizing and flow problems for multiple-valued functions and maps

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...

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Bibliographic Details
Main Author: Zhu, Wei
Other Authors: Hardt, Robert M.
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/20678