Inserted: 29 oct 2009
Last Updated: 19 dec 2011
Journal: Annales Academiae Scientiarum Fennicae Mathematica
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 (see Ref. 10) as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the same paper.
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Keywords: Weak lower semicontinuity, Q-valued functions