University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator47602791510.22130/scma.2017.27915ENAli TaghaviDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Ghasem Alizadeh AfrouziDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Horieh GhorbaniDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Journal Article20161124The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.http://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf