In this note we revisit Almgren's theory of Q-valued functions, that are functions taking values in the space of unordered Q-tuples of points in Rn. In particular: we give shorter versions of Almgren's proofs of the existence of Dir-minimizing Q-valued functions, of their Hölder regularity and of the dimension estimate of their singular set.
Q-valued functions revisited
Camillo De Lellis;
2011-01-01
Abstract
In this note we revisit Almgren's theory of Q-valued functions, that are functions taking values in the space of unordered Q-tuples of points in Rn. In particular: we give shorter versions of Almgren's proofs of the existence of Dir-minimizing Q-valued functions, of their Hölder regularity and of the dimension estimate of their singular set.File in questo prodotto:
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