On the local behaviour of quasi-regular space mappings
Izvestiya. Mathematics , Tome 62 (1998) no. 6, pp. 1207-1220
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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.
@article{IM2_1998_62_6_a6,
author = {M. Vuorinen and O. Martio and V. I. Ryazanov},
title = {On the local behaviour of quasi-regular space mappings},
journal = {Izvestiya. Mathematics },
pages = {1207--1220},
publisher = {mathdoc},
volume = {62},
number = {6},
year = {1998},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_6_a6/}
}
M. Vuorinen; O. Martio; V. I. Ryazanov. On the local behaviour of quasi-regular space mappings. Izvestiya. Mathematics , Tome 62 (1998) no. 6, pp. 1207-1220. http://geodesic.mathdoc.fr/item/IM2_1998_62_6_a6/