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.
Titolo: | The limit of W^{1,1} homeomorphisms with finite distortion |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/20.500.12570/17599 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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