Geodesic
On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1999), pp. 41-49.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_1999_6_a6,
     author = {A. G. Losev and E. A. Mazepa},
     title = {On the asymptotic behavior of solutions of some elliptic-type equations on noncompact {Riemannian} manifolds},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {41--49},
     publisher = {mathdoc},
     number = {6},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_1999_6_a6/}
}
TY  - JOUR
AU  - A. G. Losev
AU  - E. A. Mazepa
TI  - On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 1999
SP  - 41
EP  - 49
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_1999_6_a6/
LA  - ru
ID  - IVM_1999_6_a6
ER  - 
%0 Journal Article
%A A. G. Losev
%A E. A. Mazepa
%T On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 1999
%P 41-49
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_1999_6_a6/
%G ru
%F IVM_1999_6_a6
A. G. Losev; E. A. Mazepa. On the asymptotic behavior of solutions of some elliptic-type equations on noncompact Riemannian manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1999), pp. 41-49. http://geodesic.mathdoc.fr/item/IVM_1999_6_a6/

[1] Yau S. T., “Harmornic functions on complete Riemannian manifolds”, Commun. Pure and Appl. Math., 28:2 (1975), 201–228 | DOI | MR | Zbl

[2] Sullivan D., “The Dirichlet problem at infinity for a negatively curved manifolds”, J. Diff. Geom., 18:4 (1983), 722–732 | MR

[3] Anderson M. T., “The Dirichlet problem at infinity for manifold of negative curvature”, J. Diff. Geom., 18:4 (1983), 701–722 | MR | Zbl

[4] Anderson M. T., Shoen R., “Positive harmonic functions on complete manifolds of negative curvature”, Ann. Math., 121:3 (1985), 429–461 | DOI | MR | Zbl

[5] Murata M., “Structure of positive solutions to $(-\Delta+v)u=0$ in $R^n$”, Duke Math. J., 53:4 (1986), 869–943 | DOI | MR | Zbl

[6] Landis E. M., Nadirashvili N. S., “Polozhitelnye resheniya ellipticheskikh uravnenii vtorogo poryadka v neogranichennykh oblastyakh”, Matem. sb., 126:1 (1985), 133–139 | MR | Zbl

[7] Grigoryan A. A., Nadirashvili N. S., “Liuvillevy teoremy i vneshnie kraevye zadachi”, Izv. vuzov. Matematika, 1987, no. 5, 25–33 | MR

[8] Losev A. G., “Nekotorye liuvillevy teoremy na rimanovykh mnogoobraziyakh spetsialnogo vida”, Izv. vuzov. Matematika, 1991, no. 12, 15–24 | MR | Zbl

[9] Berger M., Gauduchon P., Mazet E., Le spectre d'une variete riemannienne, Lect. Notes Math., 194, No VII, 1971, 454 pp. | Zbl

[10] Gilbarg D., Trudinger M., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M., 1989, 464 pp. | MR | Zbl