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arXiv · 0910.5879

Lower semicontinuous functionals for Almgren's multiple valued functions

Camillo De Lellis·Matteo Focardi·Emanuele Nunzio Spadaro
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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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Camillo De Lellis, Matteo Focardi, Emanuele Nunzio Spadaro. 2011-03-17. Lower semicontinuous functionals for Almgren's multiple valued functions. https://doi.org/10.5186/aasfm.2011.3626

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