Wednesday June 6, 2018 (11 am, Sala di Rappresentanza)

Carlo Mercuri
(Swansea University)

On a class of nonlinear Schrödinger-Poisson systems
 \{ -\Delta u+u+ \rho(x) \phi u=|u|^{p-1}u, \quad x \in \mathbb{R}^3,-\Delta \phi= \rho(x)u^2, \quad x \in \mathbb{R}^3,
under different assumptions on \rho: \mathbb{R}^3 \to \mathbb{R}_+ at infinity. A singular perturbation of the above problem will be also considered in various functional settings which are suitable for both variational and perturbation methods.