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Publication Date:
March 2011
ISSN:
1435-5345
DOI:
10.1515/crelle.2011.038

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Rank 37 out of 288 in category Mathematics in the 2011 Thomson Reuters Journal Citation Report/Science Edition
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On invertibility of Sobolev mappings

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1Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 656, Pages 1–16, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2011.038, March 2011

Publication History:
Received:
2008-12-09
Revised:
2009-12-07
Published Online:
2011-03-01

Abstract

We prove the 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.

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