Lower semicontinuous functionals for Almgren's multiple valued functions

Details Lower semicontinuous functionals for Almgren's multiple valued functions Lower semicontinuous functionals for Almgren's multiple valued functions

2009-10-30

arxiv.org/abs/0910.5879v2

Annales Academiae Scientiarum Fennicae Mathematica Volumen 36, 2011, 1-18

Mathematics

Analysis of PDEs

19 pages; [v2] minor changes for publication

Scientific paper

10.5186/aasfm.2011.3626

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.

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