  We prove fibration theorems \`a la Milnor for differentiable real maps with
non isolated critical values. We study the situation for maps with linear
discriminant, and prove that the concept of d-regularity is the key point for
the existence of a Milnor fibration on the sphere. We also explain how one can
modify the target space by homeomorphisms to linearize a general discriminant.
Whenever the composed map is d-regular one has fibration on the sphere. Plenty
of examples are discussed along the text.
