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Stability of mappings with bounded distortion on a Heisenberg group. (Russian, English) Zbl 1018.30014

Sib. Mat. Zh. 43, No. 2, 281-294 (2002); translation in Sib. Math. J. 43, No. 2, 223-234 (2002).
Summary: A stability theorem is proven for mappings with bounded distortion over John domains in a Heisenberg group furnished with the Carnot-Carathéodory metric.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
22E30 Analysis on real and complex Lie groups
35G05 Linear higher-order PDEs