“…For almost twenty years, there have been some existence and multiplicity results for elliptic equations with this operator. The interested readers may refer to [1,2,14,23,27,28,32,34,39,40,45,51,54,55,57,58,60] and the references therein. For the study the regularity of solutions of p( • )-Laplacian equation, many results have been obtained [3, 6-9, 13, 15, 26, 35, 46, 56].…”