In this paper we prove existence of radial solutions for the nonlinear
elliptic problem
−div(A(∣x∣)∇u)+V(∣x∣)u=K(∣x∣)f(u)in RN,
\noindent with suitable hypotheses on the radial potentials A,V,K. We first
get compact embeddings of radial weighted Sobolev spaces into sum of weighted
Lebesgue spaces, and then we apply standard variational techniques to get
existence results