Geodesic
On the compactness of one class of quasiconformal mappings
Problemy analiza, Tome 8 (2019) no. 3, pp. 147-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: quasi-conformal mappings, elliptic systems, embedding theorems, topological mappings, Dirichlet integral, Douglas integral, harmonic functions.
Mots-clés : sobolev spaces 
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E. A. Shcherbakov; I. A. Avdeyev. On the compactness of one class of quasiconformal mappings. Problemy analiza, Tome 8 (2019) no. 3, pp. 147-151. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a13/

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