Existence Results for a Class of Singular Problems Involving p(x)-Laplacian Operator

Abstract

The purpose of this work is to study a class of $$p(x)$$-Laplacian type equations involving variable singularities. By using the Fountain theorem together with Mountain pass theorem, we show the existence and multiplicity of solutions for the strong ($$q\in(1,\infty)$$) variable singularities.