On the boundary behavior of weak $(p,q)$-quasiconformal mappings

Let $\mathrm{\Omega }$ and $\tilde{\mathrm{\Omega }}$ be domains in the Euclidean space ${\mathbb{R}}^n$. We study the boundary behavior of weak $(p,q)$-quasiconformal mappings, $\phi :\mathrm{\Omega }\to \tilde{\mathrm{\Omega }}$, $n-1<q\le p<n$. The suggested method is based on the capacitary distortion properties of the weak $(p,q)$-quasiconformal mappings.