%0 Journal Article
%T Lower semicontinuous functionals for Almgren's multiple valued functions
%A Camillo De Lellis
%A Matteo Focardi
%A Emanuele Nunzio Spadaro
%J Mathematics
%D 2009
%I arXiv
%R 10.5186/aasfm.2011.3626
%X 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.
%U http://arxiv.org/abs/0910.5879v2