On the logistic equation for the fractional <i>p</i> ?Laplacian

We consider a Dirichlet problem for nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, with logistic-type reaction depending on positive parameter. In subdiffusive and equidiffusive cases, we prove existence uniqueness of solution when parameter lies in convenient intervals. superdiffusive case, establish bifurcation result. A new strong comparison result, independent interest, plays crucial role proof such