M. Vuorinen, O. Martio, V. I. Ryazanov, “On the local behaviour of quasi-regular space mappings”, Izv. RAN. Ser. Mat., 1998, Volume 62, Issue 6,Pages <nobr>143

This article is cited in 7 papers

On the local behaviour of quasi-regular space mappings

M. Vuorinen^a, O. Martio^a, V. I. Ryazanov^b

^a University of Helsinki, Department of Mathematics and Statistics
^b Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: We establish the local injectivity of mappings whose dilatation tensor (or matrix dilatation) belongs to the class VMO (vanishing mean oscillation) or to the class BMO (bounded mean oscillation) with sufficiently small BMO-norm, or is at least close to the class VMO in the BMO-norm.

MSC: 30C65

Received: 31.07.1997

DOI: 10.4213/im225