Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1992, Volume 73, Issue 1, Pages 27–48
DOI: https://doi.org/10.1070/SM1992v073n01ABEH002533 (Mi sm1315) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the spectrum of the operator pencil generated by the Dirichlet problem in a cone

V. A. Kozlov, V. G. Maz'ya
English version PDF (961 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1992v073n01ABEH002533
Abstract: The operator pencil whose eigenvalues determine singularities of solutions to the Dirichlet problem at the vertex of a cone is studied. First the Dirichlet–Sobolev problem with data on the ray is considered, and the eigenvalues and eigenfunctions of the corresponding operator pencil are described. Then this information is used to show that the result of [2] is best possible in a sense.
Received: 08.02.1990
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 5, Pages 638–660
Bibliographic databases:
UDC: 517
MSC: Primary 35J55, 35P05; Secondary 35B40
Language: English
Original paper language: Russian
Citation: V. A. Kozlov, V. G. Maz'ya, “On the spectrum of the operator pencil generated by the Dirichlet problem in a cone”, Mat. Sb., 182:5 (1991), 638–660; Math. USSR-Sb., 73:1 (1992), 27–48
Citation in format AMSBIB
\Bibitem{KozMaz91}
\by V.~A.~Kozlov, V.~G.~Maz'ya
\paper On the spectrum of the operator pencil generated by the Dirichlet problem in a~cone
\jour Mat. Sb.
\yr 1991
\vol 182
\issue 5
\pages 638--660
\mathnet{http://mi.mathnet.ru/sm1315}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1124101}
\zmath{https://zbmath.org/?q=an:0782.35047|0749.35027}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..73...27K}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 73
\issue 1
\pages 27--48
\crossref{https://doi.org/10.1070/SM1992v073n01ABEH002533}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KA53500003}
Linking options:
  • https://www.mathnet.ru/eng/sm1315
  • https://doi.org/10.1070/SM1992v073n01ABEH002533
  • https://www.mathnet.ru/eng/sm/v182/i5/p638
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:403
    Russian version PDF:123
    English version PDF:9
    References:44
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024