  In this note we study the mean field equations for the $3d$ Random Field
Ising Model. We discuss the phase diagram of the model, and we address the
problem of finding if such equations admit more than one solution. We find two
different critical values of $\beta$: one where the magnetization takes a
non-zero expectation value, and one where we start to have more than one
solution to the mean field equation. We find that, inside a given solution,
there are no divergent correlation lengths.
