We study a nonlinear parametric Neumann problem driven by a nonhomogeneous
quasilinear elliptic differential operator

, a
special case of which is the

-Laplacian. The reaction term is a nonlinearity
function

which exhibits

-subcritical growth. By using variational methods,
we prove a multiplicity result on the existence of weak solutions for such problems. An explicit example of an application
is also presented.