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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 5, Pages 1131–1151
DOI: https://doi.org/10.1070/IM1967v001n05ABEH000605 (Mi im2582) 		 
This article is cited in 14 scientific papers (total in 14 papers)

The solution of the first boundary-value problem for self-adjoint elliptic equations in the case of an unbounded region

L. D. Kudryavtsev
English version PDF (927 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM1967v001n05ABEH000605
Abstract: In this paper we solve the first boundary-value problem for a self-adjoint second order elliptic equation in the case of an unbounded region in a certain class of functions, which is defined in a natural way by the equation itself. Existence and uniqueness theorem are proved by means of a variational method.
Received: 26.11.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 5, Pages 1179–1199
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35J25, 47B25, 35A07, 35J20
Language: English
Original paper language: Russian
Citation: L. D. Kudryavtsev, “The solution of the first boundary-value problem for self-adjoint elliptic equations in the case of an unbounded region”, Izv. Akad. Nauk SSSR Ser. Mat., 31:5 (1967), 1179–1199; Math. USSR-Izv., 1:5 (1967), 1131–1151
Citation in format AMSBIB
\Bibitem{Kud67}
\by L.~D.~Kudryavtsev
\paper The solution of the first boundary-value problem for self-adjoint elliptic equations in the case of an unbounded region
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 5
\pages 1179--1199
\mathnet{http://mi.mathnet.ru/im2582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=217433}
\zmath{https://zbmath.org/?q=an:0174.15702|0153.42603}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 5
\pages 1131--1151
\crossref{https://doi.org/10.1070/IM1967v001n05ABEH000605}
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  • https://www.mathnet.ru/eng/im/v31/i5/p1179
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1086
    Russian version PDF:302
    English version PDF:25
    References:73
    First page:2
     
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