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arXiv:0812.2350 [math.CA]AbstractReferencesReviewsResources

On Invertibility of Sobolev Mappings

Leonid V. Kovalev, Jani Onninen

Published 2008-12-12Version 1

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.

Journal: Journal f\"ur die reine und angewandte Mathematik, volume 2011, issue 656, 1-16
Categories: math.CA
Subjects: 30C65, 26B10, 26B25
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