We study the singular perturbation problem for a class of generalized Choquard equations:
$$ -\varepsilon^2 \Delta u +V(x)u=(I_\alpha*F(u))f(u)$$
We study the existence and multiplicity of concentrating solutions using variational methods. Especially, we give an existence result forlocally sublinear case.
This is a joint work with S. Cingolani