This article is cited in 1 paper

The morphism property of subelliptic equations on the roto-translation group

M. V. Tryamkin<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We establish the morphism property of subelliptic equations for mappings with bounded distortion whose domain lies in the roto-translation group and whose range is the Heisenberg group. This implies that every nonconstant locally bounded mapping with bounded distortion whose domain and range lie in the roto-translation group is continuous, open, and discrete.

Keywords: roto-translation group, mapping with bounded distortion, horizontal differential form, coarea formula, change-of-variable formula.

UDC: 517.54+517.518.17

Received: 19.12.2013
Revised: 01.06.2015

DOI: 10.17377/smzh.2015.56.516

 English version: Siberian Mathematical Journal, 2015, 56:5, 936–954

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