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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) Russian version article
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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
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”, Math. USSR-Sb., 73:1 (1992), 27–48
Citation in format AMSBIB
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\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 Math. USSR-Sb.
\yr 1992
\vol 73
\issue 1
\pages 27--48
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
     
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