The Solution of the Laplace Equation for Two Dielectric Isolated Bodies

The scalar problem for Laplace's equations has been solved with boundary conditions on two dielectric bodies isolated from each other. Such problems appear when the potential fields in inhomogeneous surroundings of different physical environment are discussed. For example electrostatic field, velocity field of fluid in filtration, magnetic field in an inhomogeneous medium and steady-state temperature field. Moreover, the problem and its solution is naturally extended to the case of any finite number of insulators.