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

Carlo Mercuri
(Swansea University)

On a class of nonlinear Schrödinger-Poisson systems
involving a nonradial charge density


Abstract: In the spirit of the classical work of P. H. Rabinowitz [ZAMP '92] we will discuss about existence
of mountain-pass solutions and least energy solutions to the nonlinear Schrödinger-Poisson system
`\{``-\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.


Click here to download the poster of the seminar