Title: Ground-states of a Schrödinger-Poisson-Slater type equation
Abstract:
Schrödinger-Poisson-Slater equation is a nonlinear modification of Schrödinger equation with a repulsive nonlocal Coulomb potential and a local nonlinearity.
We develop a variational framework for a class of Schrödinger-Poisson-Slater type equations and discuss existence, positivity and radial symmetry of ground-state solutions.
This is a joint work with Carlo Mercuri (Swansea) and Jean Van Schaftingen (Louvain-la-Neuve).