Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those homeomorphisms such that f and f(-1) belong to W-loc(1,1). We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df-1 and conversely.

Bi-Sobolev mappings with differential matrices in Orlicz Zygmund classes

GIANNETTI, FLAVIA;PASSARELLI DI NAPOLI, ANTONIA
2010

Abstract

Bi-Sobolev mappings f : Omega subset of R-2 ->(onto) Omega' subset of R-2 have been defined as those homeomorphisms such that f and f(-1) belong to W-loc(1,1). We deduce regularity properties of the distortion of f from the regularity of the differential matrix Df-1 and conversely.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/365279
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