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

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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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     title = {On an integral equation for the {Dirichlet} problem in a~plane domain with cusps on the boundary},
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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/