Multiple Solutions for a Fractional p-Laplacian Equation with Concave Nonlinearities

We investigate a fractional p-Laplacian equation with right-hand-side nonlinearity which exhibits (p-1)-sublinear term of the formλ|u|q-2,q < p (concave term),and a continuous term f(x,u) which is respectively (p-1)-superlinear or asymptotically (p-1)-linear at infinity.Some existence results for multiple nontrivial solutions are established by using variational methods combined with the Morse theory.