Three symmetric solutions for a differential inclusion system involving the (p(x),q(x))(p(x),q(x))-Laplacian in RNRN

In this paper we consider a differential inclusion system involving the (p(x),q(x))(p(x),q(x))-Laplacian in RNRN. Applying a version of the nonsmooth three critical points theorem we obtain the existence of three pairs of radially symmetric solutions of the problem in W1,p(x)(RN)×W1,q(x)(RN)W1,p(x)(RN)×W1,q(x)(RN).