Perturbed nonlinear elliptic Neumann problem involving anisotropic Sobolev spaces with variable exponents

In this paper we study the existence of infinitely many weak solutions of the following perturbed Kirchhoff-type non-homogeneous Neumann problem by applying technical approach based on critical points theorem due to B. Ricceri in a reflexive anisotropic Sobolev spaces. We use some suitable assumptions on the right had side but without using log-Ho ̈lder continu- ous condition