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.
|Original language||English (US)|
|Number of pages||16|
|Journal||Journal fur die Reine und Angewandte Mathematik|
|State||Published - Jul 2011|
ASJC Scopus subject areas
- Applied Mathematics