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.
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: | 09 Dec 2023 02:37 |
| 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