Lower semicontinuous functionals for Almgren's multiple valued functions
Analysis of PDEs
2011-03-18 v2
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.
Keywords
Cite
@article{arxiv.0910.5879,
title = {Lower semicontinuous functionals for Almgren's multiple valued functions},
author = {Camillo De Lellis and Matteo Focardi and Emanuele Nunzio Spadaro},
journal= {arXiv preprint arXiv:0910.5879},
year = {2011}
}
Comments
19 pages; [v2] minor changes for publication