On solvability conditions for a~Neumann problem for a~polyharmonic equation in the unit ball
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 61-74.

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Necessary and sufficient solvability conditions are obtained for a nonhomogeneous Neumann problem for a polyharmonic equation in the unit ball.
Keywords: Neumann problem, solvability conditions.
Mots-clés : polyharmonic equation
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V. V. Karachik. On solvability conditions for a~Neumann problem for a~polyharmonic equation in the unit ball. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 61-74. http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a5/

[1] Bitsadze A. V., “O nekotorykh svoistvakh poligarmonicheskikh funktsii”, Differents. uravneniya, 24:5 (1988), 825–831 | MR | Zbl

[2] Karachik V. V., “Ob odnoi zadache dlya poligarmonicheskogo uravneniya v shape”, Sib. mat. zhupn., 32:5 (1991), 51–58 | MR | Zbl

[3] Karachik V. V., Turmetov B. Kh., Bekaeva A., “Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball”, Internat. J. Pure Appl. Math., 81:3 (2012), 487–495

[4] Karachik V. V., “Ob odnoi zadache dlya uravneniya Puassona s normalnymi proizvodnymi vysokogo poryadka na granitse”, Differents. uravneniya, 32:3 (1996), 1501–1503 | MR

[5] Bitsadze A. V., Uravneniya matematicheskoi fiziki, Nauka, M., 1976 | MR

[6] Karachik V. V., “Postroenie polinomialnykh reshenii nekotorykh kraevykh zadach dlya uravneniya Puassona”, Zhurn. vychisl. matematiki i mat. fiziki, 51:9 (2011), 1674–1694 | MR | Zbl

[7] Karachik V. V., “Ob odnom predstavlenii analiticheskikh funktsii garmonicheskimi”, Mat. trudy, 10:2 (2007), 142–162 | MR | Zbl

[8] Karachik V. V., Antropova N. A., “O polinomialnykh resheniyakh zadachi Dirikhle dlya bigarmonicheskogo uravneniya v share”, Sib. zhurn. industr. matematiki, 15:2(50) (2012), 86–98 | MR

[9] Karachik V. V., “Polinomialnye resheniya zadachi Dirikhle dlya 3-garmonicheskogo uravneniya v share”, Zhurn. SFU. Matematika i fizika, 5:4 (2012), 527–546