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Mat. Sb. (N.S.), 1985, Volume 128(170), Number 3(11), Pages 354–363 (Mi msb2164)  

This article is cited in 63 scientific papers (total in 63 papers)

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

A. A. Grigor'yan

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.

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English version:
Mathematics of the USSR-Sbornik, 1987, 56:2, 349–358

Bibliographic databases:

UDC: 514.7
MSC: Primary 35A08, 35J05, 53C25; Secondary 31A15, 34B27
Received: 05.07.1984

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
\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
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 349--358

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  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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