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Mathematics  2009 

Lower semicontinuous functionals for Almgren's multiple valued functions

DOI: 10.5186/aasfm.2011.3626

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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 as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the same paper.

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