The limit of W1,1 homeomorphisms with finite distortion

被引：31

作者：

Fusco, N. ^{[1
]}

Moscariello, G. ^{[1
]}

Sbordone, C. ^{[1
]}

机构：

[1] Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 33卷 / 03期

关键词：

D O I：

10.1007/s00526-008-0169-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：377 / 390

页数：14

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