On some qualitative properties of solutions of elliptic equations with continuous coefficients
Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 447-460 Cet article a éte moissonné depuis la source Math-Net.Ru

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Qualitative properties of solutions of the Dirichlet problem are studied for a general second order elliptic equation. Bibliography: 16 titles.
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A. I. Ibragimov. On some qualitative properties of solutions of elliptic equations with continuous coefficients. Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 447-460. http://geodesic.mathdoc.fr/item/SM_1984_49_2_a10/

[1] Keldysh M. V., “O razreshimosti i ustoichivosti zadachi Dirikhle”, Uspekhi matem. nauk, 1941, no. VIII, 171–231 | MR | Zbl

[2] Wiener N. T., “Dirihlet problem”, J. Math, and Phys., 1924, no. 3 | MR

[3] Mikheeva E. A., “O povedenii resheniya ellipticheskogo uravneniya vtorogo poryadka v okrestnosti neregulyarnoi granichnoi tochki”, Matem. sb., 80 (122) (1969), 503–512 | Zbl

[4] Mazya V. G., “O povedenii vblizi granitsy resheniya zadachi Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka v divergentnoi forme”, Matem. zametki, 2 (1967), 209–220 | MR

[5] Landis E. M., “$s$-emkost i ee prilozheniya k issledovaniyu ellipticheskogo uravneniya 2-go poryadka s razryvnymi koeffitsientami”, Matem. sb., 76 (118) (1968), 187–213 | MR

[6] Novruzov A. A., “O regulyarnosti granichnykh tochek dlya ellipticheskikh uravnenii s nepreryvnymi koeffitsientami”, Vestn. MGU. Seriya matem. mekh., no. 1, 18–25 | Zbl

[7] Ibragimov A. I., “O povedenii v okrestnosti granichnykh tochek i teoremy ob ustranimykh mnozhestvakh dlya ellipticheskikh uravnenii 2-go poryadka s nepreryvnymi koeffitsientami”, DAN SSSR, 250:1 (1980), 25–28 | MR

[8] Krylov N. V., “O pervoi kraevoi zadache dlya ellipticheskikh uravnenii”, Dif. ur-niya, 1967, no. 2, 315–325

[9] Novruzov A. A., “O module nepreryvnosti resheniya zadachi Dirikhle v regulyarnoi granichnoi tochke”, Matem. zametki, 12:1 (1972), 67–72 | MR | Zbl

[10] Novruzov A. A., “O zadache Dirikhle dlya ellipticheskikh uravnenii 2-go poryadka”, DAN SSSR, 246:1 (1979), 11–14 | MR | Zbl

[11] Miller K., “Nonequisalence of regular boundary points for the Laplace and nondivergence equations even with continuous coefficients”, Ann. Sckola. Norm. Sup. Pisa 3 (24), 1970, 159–163 | MR | Zbl

[12] Landis E. M., Uravneniya vtorogo poryadka ellipticheskogo i parabolicheskogo tipa, Nauka, M., 1971 | MR

[13] Landkof N. S., Osnovy sovremennoi teorii potentsiala, M., 1966 | MR

[14] Miranda K., Uravneniya s chastnymi proizvodnymi ellipticheskogo tipa, IM., 1957

[15] Karleson L., Izbrannye glavy teorii isklyuchitelnykh mnozhestv, Mir, M., 1971 | Zbl

[16] Gilbarg D., Trudinger N., Elliptic partial differential equations of second order, Springer, 1977 | MR | Zbl