On invertibility of Sobolev mappings

✍ Scribed by Kovalev, Leonid V.; Onninen, Jani

• Book ID: 120237816
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2011
• Tongue: English
• Weight: 175 KB
• Volume: 2011
• Category: Article
• ISSN: 0075-4102
• DOI: 10.1515/CRELLE.2011.038

✦ Synopsis

We prove the local and global invertibility of Sobolev solutions of certain di¤erential inclusions which prevent the di¤erential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.