Mappings of finite distortion: Reverse inequalities for the Jacobian

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作者
Stanislav Hencl
Pekka Koskela
Xiao Zhong
机构
[1] Charles University,Department of Mathematical Analysis
[2] University of Jyväskylä,Department of Mathematics and Statistics
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关键词
30C65; 26B10; Mapping of finite distortion; Jacobian; reverse inequalities; weights;
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摘要
Let f be a nonconstant mapping of finite distortion. We establish integrability results on 1/Jf by studying weights that satisfy a weak reverse Hölder inequality where the associated constant can depend on the ball in question. Here Jf is the Jacobian determinant of f.
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