Existence and multiplicity of solutions for a fractional p-Laplacian equation with perturbation
Existence and multiplicity of solutions for a fractional p-Laplacian equation with perturbation
Abstract In this paper, we consider the existence of nontrivial solutions for a fractional p -Laplacian equation in a bounded domain. Under different assumptions of nonlinearities, we give existence and multiplicity results respectively. Our approach is based on variational methods and some analytical techniques.