In Griffiths, the electric displacement is written with just volume charge density, and that is because, he says, 'we cannot apply gauss law precisely at the surface of a dielectric, for here volume charge density blows up, taking the divergence of $E$ with it'. So I understand this with idea that volume charge density is charge/volume and at the surface $v$ goes to zero and the density blows up.
However, in problem 4.15(3ed), gauss law is used to find the electric field of a spherical shell with polarization. In this process, $Q$ total includes surface charge density!
So, my question is: how do I deal with the surface charge density when I study the dielectric?
One more. There is a comment like volume charge density is made by nonuniform polarization while uniform accumulates surface charge density. Then both charge density cannot exist simultaneously, but it's not. what is wrong in this?