Positive solutions of the p-Kirchhoff problem with degenerate and sign-changing nonlocal term

We establish the existence and multiplicity of positive solutions of the p-Kirchhoff problem

where is a smooth bounded domain of  and  is subcritical and positive in a right neighborhood of zero. The main feature of our problem is that  may be any continuous function such that the integral of m in each connected component of  is controlled by . Therefore, in our paper m may be degenerate, i.e., it could vanish, and sign-changing at any number of different points.