Mappings of finite distortion: Reverse inequalities for the Jacobian

被引：0
|
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
来源：
The Journal of Geometric Analysis | 2007年 / 17卷
关键词：
30C65; 26B10; Mapping of finite distortion; Jacobian; reverse inequalities; weights;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 43 条
  • [1] Mappings of finite distortion: Reverse inequalities for the Jacobian
    Hencl, Stanislav
    Koskela, Pekka
    Zhong, Xiao
    JOURNAL OF GEOMETRIC ANALYSIS, 2007, 17 (02) : 253 - 273
  • [2] Mappings of finite distortion: decay of the Jacobian in the plane
    Koskela, Pekka
    Onninen, Jani
    ADVANCES IN CALCULUS OF VARIATIONS, 2008, 1 (03) : 309 - 321
  • [3] Mappings of Finite Distortion: Decay of the Jacobian
    Pekka Koskela
    Jani Onninen
    Kai Rajala
    Journal of Geometric Analysis, 2012, 22 : 964 - 976
  • [4] Mappings of Finite Distortion: Decay of the Jacobian
    Koskela, Pekka
    Onninen, Jani
    Rajala, Kai
    JOURNAL OF GEOMETRIC ANALYSIS, 2012, 22 (04) : 964 - 976
  • [5] MAPPINGS OF EXPONENTIALLY INTEGRABLE DISTORTION: DECAY OF THE JACOBIAN
    Rabina, Antti
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (07) : 2897 - 2907
  • [6] Planar Mappings of Finite Distortion
    Koskela, Pekka
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2010, 10 (02) : 663 - 678
  • [7] Planar Mappings of Finite Distortion
    Pekka Koskela
    Computational Methods and Function Theory, 2011, 10 (2) : 663 - 678
  • [8] Mappings of Finite Distortion: Generalized Hausdorff Dimension Distortion
    Koskela, Pekka
    Zapadinskaya, Aleksandra
    Zurcher, Thomas
    JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (03) : 690 - 704
  • [9] Mappings of Finite Distortion: Generalized Hausdorff Dimension Distortion
    Pekka Koskela
    Aleksandra Zapadinskaya
    Thomas Zürcher
    Journal of Geometric Analysis, 2010, 20 : 690 - 704
  • [10] Mappings of Finite Distortion of Polynomial Type
    Changyu Guo
    The Journal of Geometric Analysis, 2014, 24 : 1052 - 1063
12345