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Algebra i Analiz, 2006, Volume 18, Issue 3, Pages 39–62 (Mi aa73)  

This article is cited in 8 scientific papers (total in 8 papers)

On the occasion of the 100th anniversary of G. M. Golusin's birth

On variational principles of conformal mappings

V. N. Dubinin, E. G. Prilepkina

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (257 kB) Citations (8)
References:
Abstract: Refinements and generalizations of the classical variational principles of conformal mappings are presented; mainly, they follow from potential theory and symmetrization. Part of the results can be viewed as properties of Robin functions and Robin capacities, and also as distortion theorems for univalent functions in finitely connected domains.
Received: 22.02.2006
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 3, Pages 373–389
DOI: https://doi.org/10.1090/S1061-0022-07-00955-7
Bibliographic databases:
Document Type: Article
MSC: 30C70, 30C85
Language: Russian
Citation: V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, Algebra i Analiz, 18:3 (2006), 39–62; St. Petersburg Math. J., 18:3 (2007), 373–389
Citation in format AMSBIB
\Bibitem{DubPri06}
\by V.~N.~Dubinin, E.~G.~Prilepkina
\paper On variational principles of conformal mappings
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 3
\pages 39--62
\mathnet{http://mi.mathnet.ru/aa73}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2255850}
\zmath{https://zbmath.org/?q=an:1146.30011}
\elib{https://elibrary.ru/item.asp?id=12894791}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 3
\pages 373--389
\crossref{https://doi.org/10.1090/S1061-0022-07-00955-7}
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  • https://www.mathnet.ru/eng/aa/v18/i3/p39
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:801
    Full-text PDF :271
    References:91
    First page:8
     
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