PLANAR ACL-HOMEOMORPHISMS: CRITICAL POINTS OF THEIR COMPONENTS

被引：4

作者：

Moscariello, Gioconda ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

Sbordone, Carlo ^{[1
]}

机构：

[1] Dipartimento Matemat & Appl R Caccioppoli, I-80126 Naples, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 05期

关键词：

ACL-homeomorphisms; mappings of finite distortion;

D O I：

10.3934/cpaa.2010.9.1391

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study planar homeomorphisms f : Omega subset of R-2 onto Omega' subset of R-2, f = (u, v), which are absolutely continuous on lines parallel to the axes (ACL) together with their inverse f(-1). The main result is that u and v have almost everywhere the same critical points. This generalizes a previous result ([6]) concerning bisobolev mappings. Moreover we construct an example of a planar ACL-homeomorphism not belonging to the Sobolev class W-loc(1,1).

引用

页码：1391 / 1397

页数：7

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