Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion

被引：1

作者：

Guo, Chang Yu ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 12期

基金：

芬兰科学院;

关键词：

Mapping of finite distortion; mappings of finite inner distortion; bi-Sobolev homeomorphism; Condition N on a.e. sphere; modulus of rectifiable surfaces; SOBOLEV SPACE W-1; W-N-1; MAPPINGS;

D O I：

10.1007/s10114-014-3619-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f : Omega -> f(Omega) subset of R-n be a W-1,W-1-homeomorphism with L-1-integrable inner distortion. We show that finiteness of min{lip(f)(x), k(f)(x)}, for every x is an element of Omega\E, implies that f(-1) is an element of W-1,W-n and has finite distortion, provided that the exceptional set E has sigma-finite H-1-measure. Moreover, f has finite distortion, differentiable a.e. and the Jacobian J(f) > 0 a.e.

引用

页码：1999 / 2013

页数：15

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