Multiple Solutions for A Class of Schrodinger Equations Involving the Fractional P-Laplacian

We deal with the multiplicity of weak solutions of the non-local elliptic equation(-Delta)(p)(s)u + V(x) vertical bar u vertical bar(p-2)u = g(x,u)in R-N, where (-Delta)(p)(s) is the so- called fractional p- Laplacian, V is a suitable continuous potential and the nonlinearity g grows as vertical bar u vertical bar(p-2) u at infinity. Our results extend the classical local counterpart, that is when s = 1.