Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
We develop a method for the reduction of the Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane to a Cauchy singular integral equation. In the case where the boundary of the domain is smooth and satisfies certain additional conditions, we regularize the indicated singular integral equation.
English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 12, pp 1976-1997.
Citation Example: Plaksa S. A. Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane // Ukr. Mat. Zh. - 2001. - 53, № 12. - pp. 1623-1641.