  We consider nonlinear problems governed by the fractional $p-$Laplacian in
presence of nonlocal Neumann boundary conditions. We face two problems. First:
the $p-$superlinear term may not satisfy the Ambrosetti-Rabinowitz condition.
Second, and more important: although the topological structure of the
underlying functional reminds the one of the linking theorem, the nonlocal
nature of the associated eigenfunctions prevents the use of such a classical
theorem. For these reasons, we are led to adopt another approach, relying on
the notion of linking over cones.
