Geodesic
Green's formulas for the Kipriyanov $\Delta_B$-operator in the weighted linear form
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 68-73.

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For the Kipriyanov singular differential operator in the Euclidean $n$-half-space, the general Green formula and two its particular cases corresponding to special values of the parameter are obtained.
Keywords: Bessel operator, Kipriyanov operator, bounded domain with Kipriyanov boundary, weighted linear form, Green's formula 
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L. N. Lyakhov; Yu. N. Bulatov. Green's formulas for the Kipriyanov $\Delta_B$-operator in the weighted linear form. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Tome 231 (2024), pp. 68-73. http://geodesic.mathdoc.fr/item/INTO_2024_231_a5/

[1] Kipriyanov I. A., Singulyarnye ellipticheskie kraevye zadachi, Nauka, M., 1997 | MR

[2] Lyakhov L. N., Bulatov Yu. N., Roschupkin S. A., Sanina E. L., “Psevdosdvig i fundamentalnoe reshenie $\Delta_B$-operatora Kipriyanova”, Differ. uravn., 58:12 (2022), 1654–1665 | MR | Zbl

[3] Lyakhov L. N., Bulatov Yu. N., Roschupkin S. A., Sanina E. L., “Edinstvennost resheniya zadach Dirikhle dlya uravneniya Puassona s singulyarnym $\Delta_B$-operatorom Kipriyanova”, Differ. uravn., 59:4 (2023), 483–493 | DOI | MR | Zbl

[4] Lyakhov L. N., Sanina E. L., “Operator Kipriyanova—Beltrami s otritsatelnoi razmernostyu operatorov Besselya i singulyarnaya zadacha Dirikhle dlya $B$-garmonicheskogo uravneniya”, Differ. uravn., 56:12 (2020), 1610–1620 | DOI | MR | Zbl