Geodesic
An extension principle for quasiconformal deformations of the~plane
Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 127-137

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An extension principle for quasiconformal deformations of the plane is described. The constructibility and diversity of extensions can be of interest in the solution of certain boundary value problems in mechanics. In the theory of quasiconformal mappings such extensions are interesting from the point of view of certain extremal problems in this theory. 
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     author = {V. I. Semenov},
     title = {An extension principle for quasiconformal deformations of the~plane},
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V. I. Semenov. An extension principle for quasiconformal deformations of the~plane. Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 127-137. http://geodesic.mathdoc.fr/item/SM_1994_77_1_a7/