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
2008-01-01
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.File in questo prodotto:
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