Asymptotically linear fractional p-Laplacian equations

In this paper we study the multiplicity of weak solutions to (possibly resonant) nonlocal equations involving the fractional p-Laplacian operator. More precisely, we consider a Dirichlet problem driven by the fractional p-Laplacian operator and involving a subcritical nonlinear term which does not satisfy the technical Ambrosetti-Rabinowitz condition. By framing this problem in an appropriate variational setting, we prove a multiplicity theorem.