Geodesic
Differential properties of solutions of elliptic boundary-value problems with power singularities on the right-hand sides
Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 211-219 
Yu. P. Krasovskii. Differential properties of solutions of elliptic boundary-value problems with power singularities on the right-hand sides. Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 211-219. http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Exact bounds are obtained for the derivatives of the solutions of general boundary-value problems for elliptic equations of order $2m$ in the neighborhood of a power singularity. The order of the singularity is arbitrary, and it can be at an interior point or on the boundary.

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[2] Roitberg Ya. A., “O razreshimosti obschikh granichnykh zadach dlya ellipticheskikh uravnenii pri nalichii stepennykh osobennostei v pravykh chastyakh”, Ukr. matem. zh., 20:3 (1968), 412–417 | MR

[3] Krasovskii Yu. P., “Vydelenie osobennosti u funktsii Grina”, Izv. AN SSSR. Ser. matem., 31 (1967), 977–1010 | MR | Zbl

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[5] Berezanskii Yu. M., Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, Kiev, 1965