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portada Descargar ficha PDF Título: Q-Valued Funtions Revisited (Vol. 991)
Autor: De Lellis, Camillo; Nunzio Spadaro, Emanuele Precio: $937.20
Editorial: American Mathematical Society Año: 2011
Tema: Matematicas Edición: 1ª
Sinopsis ISBN: 9780821849149
In this memoir the authors revisit Almgren's theory of Q-valued functions, which are functions taking values in the space \mathcal{A}_Q(\mathbb{R}^{n})$ of unordered $Q$-tuples of points in $\mathbb{R}^{n}$.

In particular, the authors:
give shorter versions of Almgren's proofs of the existence of $\mathrm{Dir}$-minimizing $Q$-valued functions, of their Hölder regularity, and of the dimension estimate of their singular set;
propose an alternative, intrinsic approach to these results, not relying on Almgren's biLipschitz embedding $\xi: \mathcal{A}_Q(\mathbb{R}^{n})\to\mathbb{R}^{N(Q,n)}$;
improve upon the estimate of the singular set of planar $\mathrm{D}$-minimizing functions by showing that it consists of isolated points.
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