Calculus of Variations and Geometric Measure Theory
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C. De Lellis - M. Focardi - E. Spadaro

Lower semicontinuous functionals for Almgren's multiple valued functions

created by focardi on 29 Oct 2009
modified on 19 Dec 2011

[BibTeX]

Published Paper

Inserted: 29 oct 2009
Last Updated: 19 dec 2011

Journal: Annales Academiae Scientiarum Fennicae Mathematica
Volume: 36
Pages: 1-18
Year: 2011

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 (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

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