Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 2: 241 - 251

DOI: https://doi.org/10.1007/s11464-011-0093-1

RESEARCH ARTICLE

Regularity for weakly (K1,K2(x))-quasiregular mappings of several n-dimensional variables

  • Hongya GAO ,
  • Qiuhua HUANG ,
  • Fang QIAN
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  • College of Mathematics and Computer Science, Hebei University, Baoding 071002, China

Received date: 30 Aug 2010

Accepted date: 11 Nov 2010

Published date: 01 Apr 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

The definition for weakly (K1,K2(x))-quasiregular mappings of several n-dimensional variables is given. A regularity property is obtained by using the stability result of Hodge decomposition, some analytical tools of Sobolev spaces, and differential geometry, which can be regarded as a generalization of the results due to T. Iwaniec and Hongya Gao.

Key words： Weakly (K1; K2(x))-quasiregular mapping of several n-dimensional variables; weak reverse Hölder inequality; regularity

Cite this article

Hongya GAO , Qiuhua HUANG , Fang QIAN . Regularity for weakly (K1,K2(x))-quasiregular mappings of several n-dimensional variables[J]. Frontiers of Mathematics in China, 2011 , 6(2) : 241 -251 . DOI: 10.1007/s11464-011-0093-1

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