Regularity for weakly (K 1, K 2(x))-quasiregular mappings of several n-dimensional variables

摘要

The definition for weakly (K 1,K 2(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.