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Licensed Unlicensed Requires Authentication Published by De Gruyter March 1, 2011

On invertibility of Sobolev mappings

  • Leonid V. Kovalev EMAIL logo and Jani Onninen


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.

Received: 2008-12-09
Revised: 2009-12-07
Published Online: 2011-03-01
Published in Print: 2011-July

© Walter de Gruyter Berlin · New York 2011

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