Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772178 | Journal of Functional Analysis | 2017 | 81 Pages |
Abstract
Let ΩâR2 be a domain, let Φ be a Î2 Young function and let fâW1,Φ(Ω,R2) be a homeomorphism between Ω and f(Ω). Then there exists a sequence of diffeomorphisms fk converging to f in the Sobolev-Orlicz space W1,Φ(Ω,R2). Further for an injective continuous map ÏâW1,Φ(â(â1,1)2,R2) we find a diffeomorphism in W1,Φ((â1,1)2,R2) that equals Ï on the boundary.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Campbell,