Let Ω in R^2 be a domain. Suppose that f in 2 W ^{1;1}_loc (Ω ;R^2) is a homeomorphism. Then the components x(w), y(w) of the inverse f^{-1} = (x; y) : Ω' → Ω have total variations.
Anisotropic Sobolev homeomorphisms
DI GIRONIMO, Patrizia;
2011-01-01
Abstract
Let Ω in R^2 be a domain. Suppose that f in 2 W ^{1;1}_loc (Ω ;R^2) is a homeomorphism. Then the components x(w), y(w) of the inverse f^{-1} = (x; y) : Ω' → Ω have total variations.File in questo prodotto:
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