A1 Refereed original research article in a scientific journal

On the local behaviour of quasi-regular space mappings



Authors: Vuorinen M., Martio O., Ryazanov V.

Publication year: 1998

Journal:: Izvestiya: Mathematics

Journal name in source: Izvestiya Mathematics

Volume: 62

Issue: 6

First page : 1207

Last page: 1220

Number of pages: 14

ISSN: 1064-5632

DOI: https://doi.org/10.1070/IM1998v062n06ABEH000225

Web address : http://api.elsevier.com/content/abstract/scopus_id:33747111648


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. ©1998 RAS(DoM) and LMS.



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