Q-Valued Functions Revisited - Couverture souple

Lellis, Camillo; Nunzio, Emanuele

Couverture souple

ISBN 10 : 082184914X ISBN 13 : 9780821849149

Editeur : American Mathematical Society, 2011

Synopsis

In this memoir the authors reit 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 partiar, the authors: give shorter versions of Almgren's proofs of the existence of $mathrm{Dir}$-minimizing $Q$-valued functions, of their Holder 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 $\xi: mathcal{A}_Q(mathbb{R}^{n}) omathbb{R}^{N(Q,n)}$; improve upon the estimate of the singular set of planar $mathrm{D}$-minimizing functions by showing that it consists of isolated points.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 082184914X
• ISBN 13: 9780821849149
• Reliure: Broché
• Nombre de pages: 79
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible