TitleLower semicontinuous functionals for Almgren's multiple valued functions
Publication TypeJournal Article
Year of Publication2011
AuthorsDe Lellis C., Focardi M., Spadaro E.
JournalAnnales Academiae Scientiarum Fennicae. Mathematica
Volume36
Pagination393–410
PublisherAnnales Academiae Scientiarum Fennicae
Type of ArticleQ-valued
ISSN1239-629X
Abstract

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 in [10] as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the same paper.

Notes

Annales Academiae Scientiarum Fennicae vol. 36 pp. 393-410 (2011)

URLhttp://www.acadsci.fi/mathematica/Vol36/DeLellisFocardiSpadaro.html
DOI10.5186/aasfm.2011.3626
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