Abstract
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) |
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Pages (from-to) | 351-360 |
Number of pages | 10 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 186 |
Issue number | 3 |
DOIs | |
State | Published - Dec 2007 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering