Boundary value problems in generalized biaxially symmetric potential theory

AbstractInterior boundary value problems are solved for the operator of generalized biaxially symmetric potential theory. The boundary conditions consist of Dirichlet data on the nonsingular part of the boundary and Dirichlet data or growth restrictions on the singular hyperplanes, depending on the values of parameters of the operator. Continuation of solutions beyond the singular hyperplanes is considered, yielding an improvement of a result of Huber. Potential theoretic methods are used for the investigation