Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 120–134 (Mi znsl5263)  
This article is cited in 2 scientific papers (total in 2 papers)

The Vuorinen problem on the maximum of the conformal module

E. G. Emel'yanova, G. V. Kuz'minab

a С.-Петербургский университет экономики и финансов, С.-Петербург, Россия
b С.-Петербургское отделение Математического института им. В. А. Стеклова РАН, С.-Петербург, Россия
Full-text PDF (235 kB) Citations (2)
References:
PDF
HTML
Abstract: A problem on the maximum of the conformal module over a family of doubly connected domains in the unit disk, being a hyperbolic analog of the Teichmüller problem, is solved. The cases when the desired maximum is expressed in elliptic functions are showed.
Key words and phrases: conformal module, hyperbolic plane, extremal metric problem, quadratic differential, symmetrization, condenser capacity.
Received: 25.06.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 1, Pages 66–74
DOI: https://doi.org/10.1007/s10958-013-1434-2
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: English
Citation: E. G. Emel'yanov, G. V. Kuz'mina, “The Vuorinen problem on the maximum of the conformal module”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 120–134; J. Math. Sci. (N. Y.), 193:1 (2013), 66–74
Citation in format AMSBIB
\Bibitem{EmeKuz12}
\by E.~G.~Emel'yanov, G.~V.~Kuz'mina
\paper The Vuorinen problem on the maximum of the conformal module
\inbook Analytical theory of numbers and theory of functions. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 404
\pages 120--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029596}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 193
\issue 1
\pages 66--74
\crossref{https://doi.org/10.1007/s10958-013-1434-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884980246}
Linking options:
  • https://www.mathnet.ru/eng/znsl5263
  • https://www.mathnet.ru/eng/znsl/v404/p120
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:249
    Full-text PDF :62
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024