Geodesic
On unbounded solutions of the stationary Schrödinger problem on model Riemannian manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2006), pp. 46-56 
A. G. Losev; E. A. Mazepa; V. Yu. Chebanenko. On unbounded solutions of the stationary Schrödinger problem on model Riemannian manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2006), pp. 46-56. http://geodesic.mathdoc.fr/item/IVM_2006_7_a4/
@article{IVM_2006_7_a4,
     author = {A. G. Losev and E. A. Mazepa and V. Yu. Chebanenko},
     title = {On unbounded solutions of the stationary {Schr\"odinger} problem on model {Riemannian} manifolds},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {46--56},
     year = {2006},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2006_7_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Grigor'yan A., “Analytic and geometric background of recurence and non-explosion of the Brownian motion on Riemannian manifolds”, Bull. Amer. Math. Soc., 36 (1999), 135–249 | DOI | MR

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

[3] Losev A. G., Mazepa E. A., “O povedenii ogranichennykh reshenii uravneniya Shredingera na nekompaktnykh rimanovykh mnogoobraziyakh”, Vestnik VolGU. Ser. Matem. Fizika, 1998, no. 3, 32–43

[4] Losev A. G., Mazepa E. A., “Ob asimptoticheskom povedenii reshenii nekotorykh uravnenii ellipticheskogo tipa na nekompaktnykh rimanovykh mnogoobraziyakh”, Izv. vuzov. Matematika, 1999, no. 6, 41–49 | MR | Zbl

[5] Kheyfits A. I., “Liouville theorems for generalized harmonic functions”, Potent. Anal., 16 (2002), 93–101 | DOI | MR | Zbl

[6] Yau S. T., “Nonlinear analysis in geometry”, L'Enseigenement Math., 33 (1987), 109–158 | MR | Zbl

[7] Poznyak E. G., Shikin E. V., Differentsialnaya geometriya, Izd-vo MGU, M., 1990, 384 pp. | Zbl

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

[9] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971, 576 pp. | MR

[10] Elsgolts L. E., Differentsialnye uravneniya i variatsionnoe ischislenie, Nauka, M., 1969, 424 pp. | MR