Geodesic
On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary
Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 61-83 
V. G. Maz'ya; A. A. Soloviev. On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary. Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 61-83. http://geodesic.mathdoc.fr/item/SM_1991_68_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Integral equations for the Dirichlet problem for the Laplace operator are studied in a plane domain whose boundary has interior or exterior peaks with tangency of first order. Theorems on unique solvability and asymptotics of solutions near the peaks are presented. Bibliography: 8 titles.

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[3] Mazya V. G., “O razreshimosti granichnykh integralnykh uravnenii teorii uprugosti v oblastyakh s kusochno-gladkimi granitsami”, Differentsialnye uravneniya i ikh prilozheniya. Tr. Vsesoyuzn. simpoz. (Tbilisi. 21–27 aprelya 1982 g.), Metsniereba, Tbilisi, 1986, 123–129 | MR

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[5] Mazya V. G., Solovev A. A., “Razreshimost integralnogo uravneniya zadachi Dirikhle v ploskoi oblasti s ostriyami na granitse”, DAN SSSR, 298:6 (1988), 1312–1315 | MR | Zbl

[6] Varshavskii S. E., “Konformnoe otobrazhenie beskonechnykh polos”, Matematika (Sb.per.), 2:4 (1958), 67–116

[7] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1966 | MR

[8] Stoilov S., Teoriya funktsii kompleksnogo peremennogo, IL, M., 1962