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, 2000, Volume 270, Pages 51–79 (Mi znsl1327)  
This article is cited in 7 scientific papers (total in 7 papers)

Mixed Stekloff eigenvalue problem and new extremal properties of the Grötzsch ring

B. Dittmara, A. Yu. Solyninb

a Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (318 kB) Citations (7)
Abstract: We study the mixed Stekloff eigenvalue problem in doubly-connected domains. Using circular symmetrization and a distortion theorem on conformal mapping of an annulus, we find a lower bound for the first eigenvalue that is sharp for the Grötzsch ring. We solve also an extremal problem for some polygonal doubly-connected domains and prove some results concerning the existence of a closed nodal line.
Received: 03.04.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 2, Pages 2119–2134
DOI: https://doi.org/10.1023/A:1022876518846
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: B. Dittmar, A. Yu. Solynin, “Mixed Stekloff eigenvalue problem and new extremal properties of the Grötzsch ring”, Investigations on linear operators and function theory. Part 28, Zap. Nauchn. Sem. POMI, 270, POMI, St. Petersburg, 2000, 51–79; J. Math. Sci. (N. Y.), 115:2 (2003), 2119–2134
Citation in format AMSBIB
\Bibitem{DitSol00}
\by B.~Dittmar, A.~Yu.~Solynin
\paper Mixed Stekloff eigenvalue problem and new extremal properties of the Gr\"otzsch ring
\inbook Investigations on linear operators and function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 270
\pages 51--79
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1327}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1795639}
\zmath{https://zbmath.org/?q=an:1118.35318}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 2
\pages 2119--2134
\crossref{https://doi.org/10.1023/A:1022876518846}
Linking options:
  • https://www.mathnet.ru/eng/znsl1327
  • https://www.mathnet.ru/eng/znsl/v270/p51
    • This publication is cited in the following 7 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:259
    Full-text PDF :137
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024