Title | Lower semicontinuous functionals for Almgren's multiple valued functions |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | De Lellis C., Focardi M., Spadaro E. |
Journal | Annales Academiae Scientiarum Fennicae. Mathematica |
Volume | 36 |
Pagination | 393–410 |
Publisher | Annales Academiae Scientiarum Fennicae |
Type of Article | Q-valued |
ISSN | 1239-629X |
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) |
URL | http://www.acadsci.fi/mathematica/Vol36/DeLellisFocardiSpadaro.html |
DOI | 10.5186/aasfm.2011.3626 |
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