Lower semicontinuous functionals for Almgren's multiple valued functions

Lower semicontinuous functionals for Almgren's multiple valued functions

We consider general integral functionals on the Sobolev spaces of multiple valued functions, introduced by Almgren. We characterize the semicontinuous ones and recover earlier results of Mattila as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the sam...

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Veröffentlicht in:arXiv.org 2011-03
Hauptverfasser: De Lellis, Camillo, Focardi, Matteo, Emanuele Nunzio Spadaro
Format: Artikel
Sprache:eng
Schlagworte:
Functionals
Mathematics - Analysis of PDEs
Sobolev space
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Zusammenfassung:We consider general integral functionals on the Sobolev spaces of multiple valued functions, introduced by Almgren. We characterize the semicontinuous ones and recover earlier results of Mattila as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the same paper.
ISSN:2331-8422
DOI:10.48550/arxiv.0910.5879