Geodesic
Uniqueness of positive radial-symmetrical solution of Dirichlet problem in annular domains for one class of nonlinear differential equations of the second order
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 5-11

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The existence and uniqueness of positive radially symmetric solution of Dirichlet problem in annular domain for one class of nonlinear differential equations of the second order is proved.
Mots-clés : positive solution, annular domain
Keywords: Dirichlet problem, nonlinear differential equation, uniqueness. 
E. I. Abduragimov. Uniqueness of positive radial-symmetrical solution of Dirichlet problem in annular domains for one class of nonlinear differential equations of the second order. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 5-11. http://geodesic.mathdoc.fr/item/VSGU_2011_5_a0/
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[1] Bandle C., Man Kam Kwong, “Semilinear elliptic problems in annular domains”, Journal of applied Mathematics and Physics(ZAMP), 40 (1989), 245–247 | DOI | MR

[2] Vieri Benci, Donato Fortinato, “Some nonlinear elliptic problems with asymptotic conditions”, Nonlinear Analysis. Theory, Methods and Applications, 3:2 (1979), 157–173 | DOI | MR

[3] Pokhozhaev S. I., “Ob odnoi zadache Ovsyannikova”, PMTF, 1989, no. 2, 5–10 | MR

[4] Galakhov E. I., “Polozhitelnye resheniya kvazilineinogo ellipticheskogo uravneniya”, Matematicheskie zametki, 78:2 (2005), 202–211 | DOI | MR | Zbl

[5] Kuo-Shung Cheng, Jenn-Tsann Lin, “On the elliptic equations $\Delta u=K(x)u^{\alpha}$ and $\Delta u=K(x)\exp^{2u}$”, Transactions of American mathematical society, 304:2 (1987), 633–668 | MR

[6] Gidas B., Spruck J., “Global and local behavior of positive solutions of nonlineare elliptic equations”, Communications on Pure and Applied Mathematics, 4 (1982), 525–598 | MR

[7] Pokhozhaev S. I., “O tselykh radialnykh resheniyakh nekotorykh kvazilineinykh ellipticheskikh uravnenii”, Matematicheskii sbornik, 83:11 (1992), 3–18 | MR

[8] Dancer E. N., Shi Junping, “Uniqueness and nonexistence of positive solutions to semipositive problems”, London Math. Soc., 38:6 (2006), 1033–1044 | DOI | MR | Zbl

[9] Kavano Nichiro, Satsuma Junkichi, Youtsutani Shoji, “On the Positive Solution of an Emden-Type Elliptic Equation”, Proc. Jap. Acad. Ser. A, 61:6 (1985), 186–189 | DOI | MR

[10] Jiang Jue, “On radially symmetric solutions to singular nonlinear Dirichlet problems”, Nonlinear Anal. Theory. Methods and Applications, 24 (1995), 159–163 | DOI | MR | Zbl

[11] Abduragimov E. I., “Polozhitelnoe reshenie dvukhtochechnoi kraevoi zadachi dlya odnogo nelineinogo ODU chetvertogo poryadka”, Dagestanskii matematicheskii sbornik, 1 (2005), 7–12

[12] Abduragimov E. I., “O polozhitelnom radialno-simmetrichnom reshenii zadachi Dirikhle dlya odnogo nelineinogo uravneniya i chislennom metode ego polucheniya”, Izv. vuzov. Matematika, 1997, no. 5, 3–6 | MR | Zbl

[13] Abduragimov E. I., “O edinstvennosti polozhitelnogo radialno-simmetrichnogo resheniya zadachi Dirikhle v share dlya odnogo nelineinogo differentsialnogo uravneniya vtorogo poryadka”, Izv. vuzov. Matematika, 12 (2008), 3–6 | MR | Zbl

[14] Na Ts., Vychislitelnye metody resheniya prikladnykh granichnykh zadach, Mir, M., 1982, 296 pp. | MR

[15] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, Nauka, M., 1970, 608 pp.