## Point dipole embedded in dielectric sphere

1. The problem statement, all variables and given/known data

A point dipole p is embedded at the center of a sphere of linear dielectric material (with radius R and dielectric constant $$\epsilon_{r}$$). Find the electric potential inside and outside the sphere.

2. Relevant equations
Well I'm guessing that using the method of separation of variables might be appropriate - my concern is to determine what "produces" the resulting potential. I would consider the embedded dipole as a free charge and go from there, but not sure what the resulting polarization might be.
Also: $$\rho_{b} = - ( \frac{ \chi_{e} }{1+\chi_{e} } ) \rho_{f}$$
Bound charge density is proportional to free charge density (here the embedded dipole).

3. The attempt at a solution

I know how to proceed once I get my boundary conditions set up; but that's my problem at the moment. Any hint would be greatly appreciated.
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 Potential due to dipole + that of polarization?