Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 534–539 (Mi smj1859)  
This article is cited in 36 scientific papers (total in 36 papers)

Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball

T. Sh. Kal'menov, B. D. Koshanov

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (263 kB) Citations (36)
References:
PDF
HTML
Abstract: We explicitly construct the Green's function for the Dirichlet problem for polyharmonic equations in a ball in a space of arbitrary dimension. The formulas for the Green's function are of interest in their own right. In particular, the explicit representations for a solution to the Dirichlet problem for the biharmonic equation are important in elasticity.
Keywords: polyharmonic equation, Dirichlet problem, Green's function.
Received: 16.01.2007
Revised: 16.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 423–428
DOI: https://doi.org/10.1007/s11202-008-0042-8
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: T. Sh. Kal'menov, B. D. Koshanov, “Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball”, Sibirsk. Mat. Zh., 49:3 (2008), 534–539; Siberian Math. J., 49:3 (2008), 423–428
Citation in format AMSBIB
\Bibitem{KalKos08}
\by T.~Sh.~Kal'menov, B.~D.~Koshanov
\paper Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a~ball
\jour Sibirsk. Mat. Zh.
\yr 2008
\vol 49
\issue 3
\pages 534--539
\mathnet{http://mi.mathnet.ru/smj1859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2442536}
\zmath{https://zbmath.org/?q=an:1164.35026}
\transl
\jour Siberian Math. J.
\yr 2008
\vol 49
\issue 3
\pages 423--428
\crossref{https://doi.org/10.1007/s11202-008-0042-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000256329000006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44349173719}
Linking options:
  • https://www.mathnet.ru/eng/smj1859
  • https://www.mathnet.ru/eng/smj/v49/i3/p534
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:762
    Full-text PDF :224
    References:58
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024