Multiplicity of Positive Solutions for a Class of Elliptic Equations in Divergence Form

We prove results concerning the existence and multiplicity of positive solutions for the quasilinear equation$$-\text{div}(a(\ep x)|\nabla u|^{p-2}\nabla u) + |u|^{p-2}u = f(u)~~\text{in }\real^N,~~~ u \in W^{1,p}(\real^N),$$where $2 \leq p