On a doubly sublinear fractional p-Laplacian equation

Abstract We prove a bifurcation result for a Dirichlet problem driven by the fractional p -Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs. Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.