Regularity points of ACL-homeomorphisms in the plane

被引：3
|
作者：
Farroni, Fernando [1 ]
Giova, Raffaella
Sbordone, Carlo [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
RECENT TRENDS IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS I: EVOLUTION PROBLEMS | 2013年 / 594卷
关键词：
QUASI-CONFORMAL MAPPINGS; BI-SOBOLEV MAPPINGS; INVERSE;
D O I：
10.1090/conm/594/11788
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f : Omega ->(onto) Omega' be a homeomorphism between planar domains. We prove that the regular sets R-f = {z is an element of Omega : J(f) (z) not equal 0} and Rf-1 = {w is an element of Omega' : J(f-1) (w) not equal 0} have both positive measure if f and f(-1) are absolutely continuous on lines. The result is sharp.
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页码：167 / 178
页数：12
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