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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1319–1332 (Mi smj1921)  
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
Full-text PDF (322 kB) Citations (6)
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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
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1051–1061
DOI: https://doi.org/10.1007/s11202-008-0101-1
Bibliographic databases:
UDC: 517.95
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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