An extension principle for quasiconformal deformations of the plane

V. I. Semenov


Abstract: 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.

UDC: 517.54

MSC: 30C62, 30C65

Received: 13.03.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 77:1, 127–137

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