Diffeomorphic approximation of Planar Sobolev Homeomorphisms in rearrangement invariant spaces
Keyword(s):
Let $\Omega\subseteq\mathcal{R}^2$ be a domain, let $X$ be a rearrangement invariant space and let $f\in W^{1}X(\Omega,\mathcal{R}^2)$ be a homeomorphism between $\Omega$ and $f(\Omega)$. Then there exists a sequence of diffeomorphisms $f_k$ converging to $f$ in the space $W^{1}X(\Omega,\mathcal{R}^2)$.
2006 ◽
Vol 4
(3)
◽
pp. 275-304
◽
1996 ◽
Vol 30
(4)
◽
pp. 267-269
◽
1998 ◽
Vol 156
(2)
◽
pp. 384-410
◽
2005 ◽
Vol 145
(1)
◽
pp. 125-156
◽
2011 ◽
Vol 260
(1)
◽
pp. 195-207
◽