Critical points for Sobolev homeomorphisms

被引：5
|
作者：
Sbordone, Carlo [1 ]
Schiattarella, Roberta [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2011年 / 22卷 / 02期
关键词：
Sobolev mapping; bounded variation; homeomorphism; MAPPINGS;
D O I：
10.4171/RLM/596
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of homeomorphisms f : Omega subset of R-2 ->(on to) Omega' subset of R-2 of the Sobolev space W-loc(1,1) (Omega; R-2) whose Jacobian may vanish on a set of positive measure but cannot be zero a.e. in W. This class is defined by the bi-Sobolev condition (1) f and f(-1) is an element of W-loc(1,1) and reveals useful also in the theory of changes of variables for Sobolev functions.
引用
收藏
页码：207 / 222
页数：16
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