Mathematical analysis, boundary value problems for elliptic equations.
Main publications:
Airapetyan G. M., “Zadacha tipa Rimana–Gilberta dlya $n$-golomorfnykh funktsii v klasse $L^1$”, Doklady RAN, 328:3 (1993), 421–423
Airapetyan G. M., Meliksetyan P. E., “Granichnaya zadacha Gilberta v poluploskosti v prostranstvakh s vesom”, Izvestiya NAN Armenii, Matematika, 38:6 (2003), 17–32
Airapetyan G. M., “O razreshimosti zadachi Dirikhle s granichnymi funktsiyami iz prostranstva s vesom”, Mat. zametki, 76:5 (2004), 643–650
Hayrapetyan H. M., “Dirichlet Problem In the Half-Plane for RO-varying Weight Functions”, Topics in Analysis and its Applications, NATO Sci. Ser. II Math. Phys. Chem., 147, Kluwer Academic Publishers, Dordrecht, 2004, 311–316
Airapetyan G. M., “Granichnaya zadacha Gilberta v vesovykh prostranstvakh”, Izvestiya NAN Armenii, Matematika, 43:2 (2008), 85–99
