On the compactness of one class of quasiconformal mappings

We consider an elliptic system in the disk ${|z|<1}$ for the so-called $p$-analytic functions. This system admits degeneration at the boundary of the disk. We prove compactness of the family of $K$-quasiconformal mappings, which are the solutions of the uniformly elliptic systems approximating the degenerating one.