We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that f -1 is of bounded variation provided that f -1 W 1,1(Ω; R n ) is a homeomorphism with |Df| in the Lorentz space L n-1,1(Ω).
|Original language||English (US)|
|Number of pages||10|
|Journal||Archive for Rational Mechanics and Analysis|
|State||Published - Dec 1 2007|
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Mechanical Engineering