数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 456-464.

• 论文 • 上一篇    下一篇

(K1(x), K2(x)) - 有限伸张映射

  

  1. (1. 河北大学数学与计算机学院  河北 保定 071002; 2. 河北省数学研究中心  石家庄 050016; 3. 河北理工大学理学院  河北 唐山 063009)
  • 收稿日期:2007-11-24 修回日期:2008-12-21 出版日期:2009-04-25 发布日期:2009-04-25
  • 基金资助:

    河北省自然科学基金数学研究专项(07M003)和河北省教育厅博士基金(B2004103)资助

On (K1(x), K2(x)) - finite Distortion Mappings

  1. (1. College of Mathematics and Computer Science, Hebei University, Hebei Baoding 071002; 2. Hebei Provincial Center of Mathematics, Shijiazhuang 050016; 3. College of Science, Hebei Polytechnic University, Hebei Tangshan 063009)
  • Received:2007-11-24 Revised:2008-12-21 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    河北省自然科学基金数学研究专项(07M003)和河北省教育厅博士基金(B2004103)资助

摘要:

该文首先给出K1(x), K2(x)) - 有限伸张映射的定义, 然后研究其自我提高的可积性性质. 最后利用Caccioppoli型不等式得到可去奇异性结果.

关键词: (K1(x), K2(x)) - 有限伸张映射, Beltrami方程, 可去奇异性, Caccioppoli型不等式, 拟正则映射

Abstract:

In this paper, the authors first give the definition of K1(x), K2(x)) - finite distortion mappings, and then investigate their self-improving integrability property. Finally, they obtain novel result on the size of removable singularities for them by using the Caccioppoli-type inequality.

Key words: (K1(x), K2(x)) - finite distortion mapping, Beltrami equation, Removable singularity, Caccioppoli-type inequality, Quasiregular mapping

中图分类号: 

  • 30C65