Affiliation:
1. Dipartimento di Matematica e Informatica Università degli Studi di Cagliari Cagliari Italy
2. Dipartimento di Matematica e Informatica Università degli Studi di Catania Catania Italy
3. Department of Mathematics National Technical University, Zografou Campus Greece
Abstract
AbstractWe consider a Dirichlet problem for a nonlinear, nonlocal equation driven by the degenerate fractional p‐Laplacian, with a logistic‐type reaction depending on a positive parameter. In the subdiffusive and equidiffusive cases, we prove existence and uniqueness of the positive solution when the parameter lies in convenient intervals. In the superdiffusive case, we establish a bifurcation result. A new strong comparison result, of independent interest, plays a crucial role in the proof of such bifurcation result.