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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1319–1332
(Mi smj1921)
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This article is cited in 6 scientific papers (total in 6 papers)
Harmonic functions on Riemannian manifolds with ends
S. A. Korol'kov Volgograd State University
Abstract:
We study the problem of solvability of some boundary value problems on noncompact Riemannian manifolds with ends. We obtain the conditions for existence and uniqueness of solutions to the problems as well as the conditions for the fulfillment of Liouville-type theorems for harmonic functions on the manifolds.
Keywords:
harmonic function, Riemannian manifold, Liouville-type theorem, boundary value problem.
Received: 28.12.2006
Citation:
S. A. Korol'kov, “Harmonic functions on Riemannian manifolds with ends”, Sibirsk. Mat. Zh., 49:6 (2008), 1319–1332; Siberian Math. J., 49:6 (2008), 1051–1061
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https://www.mathnet.ru/eng/smj1921 https://www.mathnet.ru/eng/smj/v49/i6/p1319
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Abstract page: | 377 | Full-text PDF : | 172 | References: | 56 | First page: | 1 |
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