Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

Jacopo Bellazzini, Louis Jeanjean, Tingjian Luo

In this paper we study the existence and the instability of standing waves with prescribed $L^2$-norm for a class of Schrödinger-Poisson-Slater equations in ${\mathbb{R}}^3$ %orbitally sta…