1.

Record Nr.

UNINA9910829070003321

Autore

De Lellis Camillo

Titolo

Q-valued functions revisited / / Camillo De Lellis, Emanuele Nunzio Spadaro

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2010

©2010

ISBN

1-4704-0608-X

Descrizione fisica

1 online resource (79 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 211, Number 991

Disciplina

515.9

Soggetti

Dirichlet principle

Geometric measure theory

Metric space

Harmonic maps

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 211, Number 991 (first of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Introduction""; ""Chapter 1. The elementary theory of Q-valued functions""; ""1.1. Decomposition and selection for Q-valued functions""; ""1.2. Extension of Lipschitz Q-valued functions""; ""1.3. Differentiability and Rademacher's Theorem""; ""Chapter 2. Almgren's extrinsic theory""; ""2.1. The biLipschitz embedding  and the retraction ""; ""2.2. Properties of Q-valued Sobolev functions""; ""2.3. Existence of Dir-minimizing Q-valued functions""; ""Chapter 3. Regularity theory""; ""3.1. First variations""; ""3.2. A maximum principle for Q-valued functions""