Solving Laplace equation inside and outside a sphere using NDSolve in Mathematica?

Let us consider we have a hollow sphere of of radius R.The surface of the potential is at some fixed potential.I want to solve the Laplace equation for both inside and outside the sphere.To make the problem little bit more complicated let’s choose that the inside and outside medium of the sphere have different permittivity.Most of us know how to solve the problem analytically.
Now how can I solve this problem in Mathematica using NDSolve?