MULTIPLICITY AND CONCENTRATION RESULTS FOR SOME NONLINEAR SCHRODINGER EQUATIONS WITH THE FRACTIONAL p-LAPLACIAN

We consider a class of parametric Schrodinger equations driven by the fractional p-Laplacian operator and involving continuous positive potentials and nonlinearities with subcritical or critical growth. Using variational methods and Ljusternik-Schnirelmann theory, we study the existence, multiplicity and concentration of positive solutions for small values of the parameter.