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De Lellis, C; Focardi, M; Spadaro, E (2011). Lower semicontinuous functionals for Almgren's multiple valued functions. Annales Academiae Scientiarum Fennicae. Mathematica, 36(2):393-410.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2011 |
| Deposited On: | 14 Mar 2013 07:38 |
| Last Modified: | 08 Jan 2025 02:40 |
| Publisher: | Academia Scientiarum Fennica |
| ISSN: | 1239-629X |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.5186/aasfm.2011.3626 |
| Official URL: | http://www.acadsci.fi/mathematica/Vol36/DeLellisFocardiSpadaro.html |
De Lellis, C