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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)
References:
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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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  • https://www.mathnet.ru/eng/smj1921
  • https://www.mathnet.ru/eng/smj/v49/i6/p1319
    • This publication is cited in the following 6 articles:
    1. E. A. Mazepa, D. K. Ryaboshlykova, “Boundary-value problems for the inhomogeneous Schrödinger equation with variations of its potential on non-compact Riemannian manifolds”, Probl. anal. Issues Anal., 10(28):3 (2021), 113–128  mathnet  crossref
    2. A. N. Kondrashov, “On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form”, Izv. Math., 83:2 (2019), 287–314  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Korol'kov S.A., “on the Solvability of Boundary Value Problems For the Stationary Schrodinger Equation in Unbounded Domains on Riemannian Manifolds”, Differ. Equ., 51:6 (2015), 738–744  crossref  mathscinet  zmath  isi  scopus
    4. S. A. Korolkov, “O vzaimosvyazi razreshimostei nekotorykh kraevykh zadach dlya L-garmonicheskikh funktsii v neogranichennykh oblastyakh rimanovykh mnogoobrazii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 2(21), 17–26  mathnet
    5. Yu. V. Goncharov, A. G. Losev, A. V. Svetlov, “Garmonicheskie funktsii na konusakh modelnykh mnogoobrazii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 3(22), 13–22  mathnet
    6. Korolkov S.A., Losev A.G., “Resheniya ellipticheskikh uravnenii na rimanovykh mnogoobraziyakh s kontsami1”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 2011, no. 1, 23–40  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
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