Abstract
This paper formulates a mixed boundary value problem for Laplace’s equation in an axial symmetric domain in$E^3$ as a type V boundary value problem. This formulation enables the boundary value problem to be transformed into a singular integral equation. The paper also considers the necessity of imposing an orthogonality condition on the boundary data to insure the existence of a solution. The principal theorem of the paper is that when the domain is a sphere no orthogonality condition is necessary.
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