On degenerate weakly (K1, K2)-quasiregular mappings

被引:0
|
作者
Hongya, Gao [1 ]
Tong, Li [1 ,2 ]
机构
[1] Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
degenerate weakly (K-1; K-2)-quasiregular mapping; exterior power; exterior differential form; McShane extension;
D O I
10.1016/S0252-9602(08)60016-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors first give the definition of degenerate weakly (K-1, K-2)-quasiregular mappings using the technique of exterior power and exterior differential forms, and then, using the method of McShane extension, a useful inequality is obtained, which can be used to derive the self-improving regularity.
引用
收藏
页码:163 / 170
页数:8
相关论文
共 50 条
  • [1] ON DEGENERATE WEAKLY (K1,K2)-QUASIREGULAR MAPPINGS
    高红亚
    李彤
    Acta Mathematica Scientia, 2008, (01) : 163 - 170
  • [2] Regularity for weakly (K1, K2)-quasiregular mappings
    Hongya Gao
    Science in China Series A: Mathematics, 2003, 46 (4): : 499 - 505
  • [3] Regularity for weakly (K1, K2)-quasiregular mappings
    高红亚
    ScienceinChina,SerA., 2003, Ser.A.2003 (04) : 499 - 505
  • [4] Regularity for weakly (K1, K2)-quasiregular mappings
    Gao, HY
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 46 (04): : 499 - 505
  • [5] Regularity for weakly (K1, K2)-quasiregular mappings
    高红亚
    Science China Mathematics, 2003, (04) : 499 - 505
  • [6] A New Inequality for Weakly (K1,K2)-Quasiregular Mappings
    Hong Ya Gao
    Shu Qing Zhou
    Yu Qin Meng
    Acta Mathematica Sinica, English Series, 2007, 23 : 2241 - 2246
  • [7] A New Inequality for Weakly (K1,K2)-Quasiregular Mappings
    Hong Ya GAO College of Mathematics and Computer
    ActaMathematicaSinica(EnglishSeries), 2007, 23 (12) : 2241 - 2246
  • [8] A new inequality for weakly (K1,K2)-Quasiregular mappings
    Gao, Hong Ya
    Zhou, Shu Qing
    Meng, Yu Qin
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (12) : 2241 - 2246
  • [9] Degenerate Weakly (k(1), k(2))-Quasiregular Mappings
    Gao Hongya
    Tian Dazeng
    Sun Lanxiang
    Chu Yuming
    KYUNGPOOK MATHEMATICAL JOURNAL, 2011, 51 (01): : 59 - 68
  • [10] Regularity for weakly (K1, K2(x))-quasiregular mappings of several n-dimensional variables
    Hongya Gao
    Qiuhua Huang
    Fang Qian
    Frontiers of Mathematics in China, 2011, 6 : 241 - 251