The Regularity of the Inverses of Sobolev Homeomorphisms with Finite Distortion

被引：21

作者：

Moscariello, Gioconda ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 01期

关键词：

Homeomorphisms with finite distortion; Area formula; Bisobolev mappings; MAPPINGS;

D O I：

10.1007/s12220-012-9345-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega and Omega' be bounded open sets in a"e (n) , na parts per thousand yen2, and let Hom(Omega;Omega') be the class of homeomorphisms f:Omega ->Omega'. If faHom(Omega;Omega')a (c) W (1,n-1)(Omega;Omega') is a homeomorphism with finite inner distortion, we deduce regularity properties of the inverse f (-1) from the regularity of the distortion function of f.

引用

页码：571 / 594

页数：24

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