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Izvestiya: Mathematics, 1998, Volume 62, Issue 6, Pages 1207–1220
DOI: https://doi.org/10.1070/im1998v062n06ABEH000225 (Mi im225) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the local behaviour of quasi-regular space mappings

M. Vuorinena, O. Martioa, V. I. Ryazanovb

a University of Helsinki, Department of Mathematics and Statistics
b Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (208 kB) Citations (7)
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DOI: https://doi.org/10.1070/im1998v062n06ABEH000225
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.
Received: 31.07.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 6, Pages 143–158
DOI: https://doi.org/10.4213/im225
Bibliographic databases:
MSC: 30C65
Language: English
Original paper language: Russian
Citation: M. Vuorinen, O. Martio, V. I. Ryazanov, “On the local behaviour of quasi-regular space mappings”, Izv. RAN. Ser. Mat., 62:6 (1998), 143–158; Izv. Math., 62:6 (1998), 1207–1220
Citation in format AMSBIB
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\issue 6
\pages 143--158
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\jour Izv. Math.
\yr 1998
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  • https://www.mathnet.ru/eng/im225
  • https://doi.org/10.1070/im1998v062n06ABEH000225
  • https://www.mathnet.ru/eng/im/v62/i6/p143
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:479
    Russian version PDF:192
    English version PDF:15
    References:46
    First page:1
     
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