Geodesic
On integral representation of functions for a second order singular elliptic operator
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 119-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a second order $B$-elliptic operator with singularities by several variables, we receive Green's formula and integral representation of smooth functions. The maximum principle and uniqueness of a classical solution of the Dirichlet problem for such operators are established.
Keywords: $B$-elliptic operator, Green's formula, maximum principle. 
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A. Yu. Sazonov; Yu. G. Fomicheva. On integral representation of functions for a second order singular elliptic operator. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 119-120. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a56/

[1] Levitan B.M., “Razlozhenie po funktsiyam Besselya v ryady i integraly Fure”, UMN, 6:2 (1951), 102–143 | MR | Zbl

[2] Sazonov A.Yu., Fomicheva Yu.G., “O edinstvennosti klassicheskogo resheniya pervoi kraevoi zadachi dlya ellipticheskogo uravneniya, vyrozhdayuschegosya na giperploskostyakh”, Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki, 13:1 (2008), 36–38