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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 6, Pages 1357–1372 (Mi smj2280)  

This article is cited in 2 scientific papers (total in 2 papers)

On composition principles for reduced moduli

E. G. Prilepkina

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Full-text PDF (335 kB) Citations (2)
References:
Abstract: We obtain the necessary and sufficient conditions for equality holding in the composition principles for generalized reduced moduli. As an application, we give some descriptions of extremal configurations in known and new inequalities for products of the Robin radii of nonoverlapping domains.
Keywords: reduced modulus, Robin function, Neumann function, nonoverlapping domain, extremal partition problem.
Received: 29.09.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 6, Pages 1079–1091
DOI: https://doi.org/10.1134/S0037446611060139
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Prilepkina, “On composition principles for reduced moduli”, Sibirsk. Mat. Zh., 52:6 (2011), 1357–1372; Siberian Math. J., 52:6 (2011), 1079–1091
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v52/i6/p1357
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:436
    Full-text PDF :132
    References:69
    First page:2
     
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