Existence and multiplicity of standing wave solutions for perturbed fractional p-Laplacian systems involving critical exponents

Abstract

In this paper, we investigate the existence of standing wave solutions to the following perturbed fractional p-Laplacian systems with critical nonlinearity (Formula presented) Under some proper conditions, we obtain the existence of standing wave solutions (uε, vε) which tend to the trivial solutions as ε → 0. Moreover, we get m pairs of solutions for the above system under some extra assumptions. Our results improve and supplement some existing relevant results.