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 / Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 33:3(2008), pp. 377-390. [10.1007/s00526-008-0169-2]
The limit of W^{1,1} homeomorphisms with finite distortion
FUSCO, NICOLA;MOSCARIELLO, GIOCONDA;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.File in questo prodotto:
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