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

Abstract

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.

Keywords

Weakly (K ₁,K ₂(x))-quasiregular mapping of several n-dimensional variables / weak reverse Hölder inequality / regularity

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