Regularity of the Inverse of a Planar Sobolev Homeomorphism |
| |
Authors: | Stanislav Hencl Pekka Koskela |
| |
Institution: | 1. Department of Mathematics and Statistics, University of Jyv?skyl?, P.O. Box 35 (MaD), FIN-40014, Jyv?skyl?, Finland
|
| |
Abstract: | Let be a domain. Suppose that f ∈ W1,1loc(Ω,R2) is a homeomorphism such that Df(x) vanishes almost everywhere in the zero set of Jf. We show that f-1 ∈ W1,1loc(f(Ω),R2) and that Df−1(y) vanishes almost everywhere in the zero set of Sharp conditions to quarantee that f−1 ∈ W1,q(f(Ω),R2) for some 1<q≤2 are also given. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|