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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 337, Pages 113–133 (Mi znsl185)  
This article is cited in 3 scientific papers (total in 3 papers)

On quadratic differentials on multiply connected domains that are perfect squares

E. G. Emel'yanov

St. Petersburg State University of Economics and Finance
Full-text PDF (295 kB) Citations (3)
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Abstract: The paper considers the problem on extremal decomposition of a multiply connected domain $G\subset\mathbb C$ in the case where the associated quadratic differential is a perfect square. It is shown that in the case considered, the value of the functional for this extremal decomposition is the least one in a certain class of decompositions. Bibliography: 10 titles.
Received: 17.10.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 3, Pages 3077–3089
DOI: https://doi.org/10.1007/s10958-007-0193-3
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: E. G. Emel'yanov, “On quadratic differentials on multiply connected domains that are perfect squares”, Analytical theory of numbers and theory of functions. Part 21, Zap. Nauchn. Sem. POMI, 337, POMI, St. Petersburg, 2006, 113–133; J. Math. Sci. (N. Y.), 143:3 (2007), 3077–3089
Citation in format AMSBIB
\Bibitem{Eme06}
\by E.~G.~Emel'yanov
\paper On quadratic differentials on multiply connected domains that are perfect squares
\inbook Analytical theory of numbers and theory of functions. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 337
\pages 113--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2271960}
\zmath{https://zbmath.org/?q=an:1115.30044}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 3
\pages 3077--3089
\crossref{https://doi.org/10.1007/s10958-007-0193-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248225396}
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  • https://www.mathnet.ru/eng/znsl185
  • https://www.mathnet.ru/eng/znsl/v337/p113
    Cycle of papers
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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