In this paper, we study the existence and multiplicity of solutions for a class of p(x)-curl systems arising in electromagnetism. Under suitable conditions on the nonlinearities which do not satisfy Ambrosetti-Rabinowitz (A-R) type conditions, we obtain some existence andmultiplicity results for the problemby using themountain pass theoremand fountain theorem. Ourmain results in this paper complement and extend some earlier ones concerning the p(x)-curl operator in [4, 15]. (430)
