Mappings of Finite Distortion:¶Discreteness and Openness

被引：0

作者：

Janne Kauhanen

Pekka Koskela

Jan Malý

机构：

[1] University of Jyväskylä¶Department of Mathematics¶P.O. Box 35¶40351 Jyväskylä¶ Finland¶e-mail: jpkau@math.jyu.fi¶e-mail: pkoskela@math.jyu.fi,

[2] Charles University¶Department KMA of the Faculty¶ of Mathematics and Physics¶Sokolovská 83¶18675 Praha 8¶ Czech Republic¶e-mail: maly@karlin.mff.cuni.cz,undefined

来源：

Archive for Rational Mechanics and Analysis | 2001年 / 160卷

关键词：

Partial Derivative; Integrability Condition; Jacobian Determinant; Finite Distortion; Integrable Distortion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish a sharp integrability condition on the partial derivatives of a mapping with Lp-integrable distortion for some p>n− 1 to guarantee discreteness and openness. We also show that a mapping with exponentially integrable distortion and integrable Jacobian determinant is either constant or both discrete and open. We give an example demonstrating the preciseness of our criterion.

引用

页码：135 / 151

页数：16