Every homeomorphism h: X -> Y between planar open sets that belongs to the Sobolev class W1;p(X;Y), 1 < p < 1, can be approximated in the Sobolev norm by Cinfinity -smooth dieomorphisms.
Iwaniec, Tadeusz; Kovalev, Leonid V.; and Onninen, Jani, "Diffeomorphic Approximation of Sobolev Homeomorphisms" (2010). Mathematics - Faculty Scholarship. 53.
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.