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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 2, Pages 349–358
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003040 (Mi sm2164) 		 
This article is cited in 77 scientific papers (total in 77 papers)

On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds

A. A. Grigor'yan
English version PDF (455 kB) Citations (77)
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DOI: https://doi.org/10.1070/SM1987v056n02ABEH003040
Abstract: A Riemannian manifold is said to be parabolic if there does no exist a positive fundamental solution of the Laplace equation on it. The purpose of this article is to obtain geometric conditions, both necessary and sufficient, for a manifold to be parabolic.
Bibliography: 11 titles.
Received: 05.07.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 3(11), Pages 354–363
Bibliographic databases:
UDC: 514.7
MSC: Primary 35A08, 35J05, 53C25; Secondary 31A15, 34B27
Language: English
Original paper language: Russian
Citation: A. A. Grigor'yan, “On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 354–363; Math. USSR-Sb., 56:2 (1987), 349–358
Citation in format AMSBIB
\Bibitem{Gri85}
\by A.~A.~Grigor'yan
\paper On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 3(11)
\pages 354--363
\mathnet{http://mi.mathnet.ru/sm2164}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815269}
\zmath{https://zbmath.org/?q=an:0612.31007|0596.31004}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 349--358
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003040}
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    • This publication is cited in the following 77 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:66
     
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