Mappings of Finite Distortion: Decay of the Jacobian

被引：6
|
作者：
Koskela, Pekka [1 ]
Onninen, Jani [1 ]
Rajala, Kai [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla 40014, Finland
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2012年 / 22卷 / 04期
基金：
芬兰科学院; 美国国家科学基金会;
关键词：
Mappings of finite distortion; Jacobian; REGULARITY; INVERSE;
D O I：
10.1007/s12220-011-9224-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the sharp degree of integrability for the reciprocal of the Jacobian determinant of an open and discrete mapping with finite, p-integrable distortion.
引用
收藏
页码：964 / 976
页数：13
相关论文
共 50 条
  • [21] Mappings of Finite Distortion: Generalized Hausdorff Dimension Distortion
    Pekka Koskela
    Aleksandra Zapadinskaya
    Thomas Zürcher
    Journal of Geometric Analysis, 2010, 20 : 690 - 704
  • [22] Mappings of generalized finite distortion and continuity
    Dolezalova, Anna
    Kangasniemi, Ilmari
    Onninen, Jani
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2024, 109 (01):
  • [23] Mappings of finite distortion: Monotonicity and continuity
    Tadeusz Iwaniec
    Pekka Koskela
    Jani Onninen
    Inventiones mathematicae, 2001, 144 : 507 - 531
  • [24] Mappings of finite distortion: Removable singularities
    Pekka Koskela
    Kai Rajala
    Israel Journal of Mathematics, 2003, 136 : 269 - 283
  • [25] UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION
    Villamor, Enrique
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 104 (03) : 412 - 429
  • [26] On the theory of mappings with finite area distortion
    Denis Kovtonyk
    Vladimir Ryazanov
    Journal d'Analyse Mathématique, 2008, 104
  • [27] Mappings of Finite Distortion:¶Discreteness and Openness
    Janne Kauhanen
    Pekka Koskela
    Jan Malý
    Archive for Rational Mechanics and Analysis, 2001, 160 : 135 - 151
  • [28] Mappings of finite distortion: Composition operator
    Hencl, Stanislav
    Koskela, Pekka
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2008, 33 (01) : 65 - 80
  • [29] On the theory of mappings with finite area distortion
    Kovtonyk, Denis
    Ryazanov, Vladimir
    JOURNAL D ANALYSE MATHEMATIQUE, 2008, 104 (1): : 291 - 306
  • [30] Mappings of finite distortion: the degree of regularity
    Faraco, D
    Koskela, P
    Zhong, X
    ADVANCES IN MATHEMATICS, 2005, 190 (02) : 300 - 318
12345