Geodesic
A capacity criterion for a domain with stable Dirichlet problem for higher order elliptic equations
Sbornik. Mathematics, Tome 29 (1976) no. 2, pp. 177-185 
È. M. Saak. A capacity criterion for a domain with stable Dirichlet problem for higher order elliptic equations. Sbornik. Mathematics, Tome 29 (1976) no. 2, pp. 177-185. http://geodesic.mathdoc.fr/item/SM_1976_29_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Conditions are obtained under which the Dirichlet problem for elliptic equations of order $2l$, $2l ($n$ is the dimensionality of the space), is stable. Bibliography: 10 titles.

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

[2] N. S. Landkof, Osnovy sovremennoi teorii potentsiala, izd-vo «Nauka», Moskva, 1966 | MR

[3] I. Babushka, “Ustoichivost oblastei opredeleniya po otnosheniyu k osnovnym zadacham teorii differentsialnykh uravnenii s chastnymi proizvodnymi, glavnym obrazom v svyazi s teoriei uprugosti”, Chekhosl. matem. zh., 11:1 (1961), 76–105 | Zbl

[4] A. A. Gonchar, “O svoistve «neustoichivosti» garmonicheskoi emkosti”, DAN SSSR, 165:3 (1965), 479–481

[5] V. G. Mazya, “Poligarmonicheskaya emkost v teorii pervoi kraevoi zadachi”, Sib. matem. zh., VI:7 (1965), 127–148

[6] V. G. Mazya, “O zadache Dirikhle dlya ellipticheskikh uravnenii proizvolnogo poryadka v neogranichennykh oblastyakh”, DAN SSSR, 150:6 (1963), 1221–1224

[7] V. I. Polovinkin, “Vneshnie zadachi dlya poligarmonicheskogo uravneniya”, DAN SSSR, 194:6 (1970), 1273–1276 | MR | Zbl

[8] E. M. Saak, “Ob ustoichivosti zadach Dirikhle i Neimana”, DAN SSSR, 195:3 (1970), 564–566 | MR | Zbl

[9] E. M. Saak, “Ob ortogonalnykh sistemakh garmonicheskikh i poligarmonicheskikh mnogochlenov”, Sib. matem. zh., XIII:6 (1972), 1330–1346 | MR

[10] E. M. Saak, “Ob ustoichivosti zadachi Dirikhle dlya poligarmonicheskogo uravneniya”, DAN SSSR, 198:4 (1971), 772–775 | MR | Zbl