Multiplicity of solutions for a scalar field equation involving a fractional p-Laplacian with general nonlinearity

Abstract

We prove the existence of infinitely many radially symmetric solutions to the problem where , , , and is the fractional p-Laplacian operator. We treat both the cases sp = N and sp<N. The nonlinearity g is a function of Berestycki–Lions type with critical exponential growth if sp = N and critical polynomial growth if sp<N. We also prove the existence of a ground state solution for the same problem.