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arXiv · 0812.2350

On Invertibility of Sobolev Mappings

Leonid V. Kovalev·Jani Onninen
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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.

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Leonid V. Kovalev, Jani Onninen. 2008-12-12. On Invertibility of Sobolev Mappings. https://doi.org/10.1515/crelle.2011.038

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