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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 1991, Number 12, Pages 15–24 (Mi ivm5227)  

This article is cited in 18 scientific papers (total in 18 papers)

Some Liouville theorems on Riemannian manifolds of a special type

A. G. Losev

Volgograd
Received: 11.04.1988
Revised: 29.09.1989
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: A. G. Losev, “Some Liouville theorems on Riemannian manifolds of a special type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 12, 15–24; Soviet Math. (Iz. VUZ), 35:12 (1991), 15–23
Citation in format AMSBIB
\Bibitem{Los91}
\by A.~G.~Losev
\paper Some Liouville theorems on Riemannian manifolds of a~special type
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 1991
\issue 12
\pages 15--24
\mathnet{http://mi.mathnet.ru/ivm5227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1205018}
\zmath{https://zbmath.org/?q=an:0764.58035}
\transl
\jour Soviet Math. (Iz. VUZ)
\yr 1991
\vol 35
\issue 12
\pages 15--23
Linking options:
  • https://www.mathnet.ru/eng/ivm5227
  • https://www.mathnet.ru/eng/ivm/y1991/i12/p15
  • This publication is cited in the following 18 articles:
    1. Losev A. Mazepa E. Romanova I., “Eigenfunctions of the Laplace Operator and Harmonic Functions on Model Riemannian Manifolds”, Lobachevskii J. Math., 41:11, SI (2020), 2190–2197  crossref  mathscinet  zmath  isi  scopus
    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. S. S. Vikharev, A. G. Losev, “Triviality of Bounded Solutions of the Stationary Ginzburg–Landau Equation on Spherically Symmetric Manifolds”, Math. Notes, 101:2 (2017), 208–218  mathnet  crossref  crossref  mathscinet  isi  elib
    4. Losev A.G., “Solvability of the Dirichlet Problem For the Poisson Equation on Some Noncompact Riemannian Manifolds”, Differ. Equ., 53:12 (2017), 1595–1604  crossref  isi
    5. S. S. Vikharev, “O nekotorykh liuvillevykh teoremakh dlya statsionarnogo uravneniya Ginzburga–Landau na kvazimodelnykh rimanovykh mnogoobraziyakh”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 15:2 (2015), 127–135  mathnet  crossref  elib
    6. A. P. Sazonov, “Polozhitelnye resheniya ellipticheskikh uravnenii na rimanovykh mnogoobraziyakh spetsialnogo vida”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 3(28), 6–18  mathnet  crossref
    7. 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
    8. 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
    9. A. G. Losev, E. A. Mazepa, “On asymptotic behavior of positive solutions of some quasilinear inequalities on model Riemannian manifolds”, Ufa Math. J., 5:1 (2013), 83–89  mathnet  crossref  mathscinet  isi  elib
    10. Kurmakaev R.F., Losev A.G., “Asimptoticheskie svoistva neogranichennykh reshenii ellipticheskikh uravnenii namodelnykh rimanovykh mnogoobraziyakh”, Vestnik volgogradskogo gosudarstvennogo universiteta. seriya 1: matematika. fizika, 2012, no. 2, 30–40  elib
    11. Korolkov S.A., Losev A.G., “Resheniya ellipticheskikh uravnenii na rimanovykh mnogoobraziyakh s kontsami”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 2011, no. 1, 23–40  mathscinet  elib
    12. S. A. Korol'kov, “Harmonic functions on Riemannian manifolds with ends”, Siberian Math. J., 49:6 (2008), 1051–1061  mathnet  crossref  mathscinet  isi  elib
    13. A. G. Losev, E. A. Mazepa, V. Yu. Chebanenko, “On unbounded solutions of the stationary Schrödinger problem on model Riemannian manifolds”, Russian Math. (Iz. VUZ), 50:7 (2006), 43–53  mathnet  mathscinet
    14. A. G. Losev, “On the behavior of bounded solutions of the equation Δuc(x)u=0 on a Riemannian manifold of a special type”, Math. Notes, 65:2 (1999), 175–180  mathnet  crossref  crossref  mathscinet  zmath  isi
    15. A. G. Losev, E. A. Mazepa, “On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds”, Russian Math. (Iz. VUZ), 43:6 (1999), 39–47  mathnet  mathscinet  zmath  elib
    16. A. G. Losev, “On the hyperbolicity criterion for noncompact Riemannian manifolds of special type”, Math. Notes, 59:4 (1996), 400–404  mathnet  crossref  crossref  mathscinet  zmath  isi
    17. V. A. Klyachin, V. M. Miklyukov, “Criteria of instability of surfaces of zero mean curvature in warped Lorentz products”, Sb. Math., 187:11 (1996), 1643–1663  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. V. A. Klyachin, V. M. Miklyukov, “Conditions for finite existence time of maximal tubes and bands in Lorentzian warped products”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 629–643  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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