We show that the limit f of a weakly convergent sequence of W-1,W-1 homeomorphisms f (j) with finite distortion has finite distortion as well,provided that it is a homeomorphism. Moreover,the lower semicontinuity of the distortions is deduced both in case of outer and inner distortion.

The limit of W^{1,1} homeomorphisms with finite distortion

SBORDONE, CARLO
2008

Abstract

We show that the limit f of a weakly convergent sequence of W-1,W-1 homeomorphisms f (j) with finite distortion has finite distortion as well,provided that it is a homeomorphism. Moreover,the lower semicontinuity of the distortions is deduced both in case of outer and inner distortion.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12570/17599
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