On Invertibility of Sobolev Mappings
Classical Analysis and ODEs
2011-07-07 v1
Abstract
We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.
Cite
@article{arxiv.0812.2350,
title = {On Invertibility of Sobolev Mappings},
author = {Leonid V. Kovalev and Jani Onninen},
journal= {arXiv preprint arXiv:0812.2350},
year = {2011}
}