Quasiregular mappings of several $n$-dimensional variables

A class of mappings from domains of $(\mathbb{R}^n)^k$ into $(\mathbb{R}^n)^m$ is introduced which coincides with quasiregular mappings from domains of $\mathbb{R}^n$ into $\mathbb{R}^n$ for $k=m=1$, and with the class of solutions to multidimensional complex Beltrami equations for $n=2$, $k\ge1$ and $m\ge1$. Its properties are studied and a stability theorem in $C$-norin is proved.