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Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 194–206
DOI: https://doi.org/10.4213/mzm10480 (Mi mzm10480) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic Behavior of the Capacity of a Condenser as Some of Its Plates Contract to Points

V. N. Dubininab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
Full-text PDF (504 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10480
Abstract: It is shown that the first two terms in the asymptotic formula for the capacity of a generalized condenser are independent of the shape of degenerating plates. An earlier formula was given only for the case in which the degenerating plates are elements of families of almost disks with fixed centers.
Keywords: capacity of a generalized condenser, condenser with degenerating plates, Green function, Robin function.
Received: 26.02.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 187–198
DOI: https://doi.org/10.1134/S0001434614070190
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Asymptotic Behavior of the Capacity of a Condenser as Some of Its Plates Contract to Points”, Mat. Zametki, 96:2 (2014), 194–206; Math. Notes, 96:2 (2014), 187–198
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10480
  • https://www.mathnet.ru/eng/mzm/v96/i2/p194
    • This publication is cited in the following 4 articles:
    1. V. N. Dubinin, “Asymptotics for the capacity of a condenser with variable potential levels”, Siberian Math. J., 61:4 (2020), 626–631  mathnet  crossref  crossref  isi  elib
    2. S. Kalmykov, L. V. Kovalev, “Uniform convergence of green's functions”, Complex Var. Elliptic Equ., 64:4 (2019), 557–562  crossref  mathscinet  isi  scopus
    3. V. N. Dubinin, “Some unsolved problems about condenser capacities on the plane”, Complex Analysis and Dynamical Systems: New Trends and Open Problems, Trends in Mathematics, ed. M. Agranovsky, A. Golberg, F. Jacobzon, D. Shoikhet, L. Zalcman, Birkhauser Verlag Ag, 2018, 81–92  crossref  mathscinet  isi  scopus
    4. V. N. Dubinin, “On the reduced modulus of the complex sphere”, Siberian Math. J., 55:5 (2014), 882–892  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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