Unimprovable derivative estimates of a solution of the Dirichlet problem for a biharmonic equation in bounded domains
Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 80-89.

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S. P. Levashkin. Unimprovable derivative estimates of a solution of the Dirichlet problem for a biharmonic equation in bounded domains. Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 80-89. http://geodesic.mathdoc.fr/item/MZM_1994_55_6_a7/

[1] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. MMO, 16, URSS, M., 1967, 209–292 | MR | Zbl

[2] Mazya V. G., “O povedenii vblizi granitsy reshenii zadachi Dirikhle dlya bigarmonicheskogo operatora”, DAN SSSR, 1977, no. 6, 1263–1266 | Zbl

[3] Iosifyan G. A., Oleinik O. A., “Printsip Sen–Venana v ploskoi teorii uprugosti i kraevye zadachi dlya bigarmonicheskogo uravneniya v neogranichennykh oblastyakh”, Sib. matem. zhurn., 19:5 (1978), 1154–1165 | MR | Zbl

[4] Kondratev V. A., Kopachek I., Oleinik O. A., “Ob asimptoticheskikh svoistvakh reshenii bigarmonicheskogo uravneniya”, Differents. uravneniya, 17:10 (1981), 1886–1899 | MR | Zbl

[5] Oleinik O. A., “On some mathematical problems of elasticity”, Atti dei convegni Lincei. Accad. Naz. dei Lincei, 1986, no. 77

[6] Dauge M., Elliptic boundary value problems on corner's domains, Lect. Notes in Math., 1341, 1988

[7] Levashkin S. P., Kraevye zadachi dlya neklass. uravn. mat. fiziki, In-t Matem. SO AN, Novosibirsk, 1989

[8] Levashkin S. P., “Ob asimptoticheskikh svoistvakh obobschennykh reshenii zadachi Dirikhle dlya poligarmonicheskogo uravneniya v negladkikh oblastyakh”, UMN, 44:5 (1989), 171–172 | MR | Zbl

[9] Agmon S., Dugdis A., Nirenberg L., Otsenki reshenii ellipticheskikh uravnenii vblizi granitsy, IL, M., 1962

[10] Mazya V. G., Shaposhnikova T. O., Multiplikatory v prostranstvakh differentsiruemykh funktsii, LGU, L., 1986