On Invertibility of Sobolev Mappings

Details On Invertibility of Sobolev Mappings On Invertibility of Sobolev Mappings

2008-12-12

arxiv.org/abs/0812.2350v1

Journal f\"ur die reine und angewandte Mathematik, volume 2011, issue 656, 1-16

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1515/CRELLE.2011.038

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.

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