Normalized solutions to mass supercritical Schrodinger equations with negative potential

Riccardo Molle, Giuseppe Riey, Gianmaria Verzini

We study the existence of positive solutions with prescribed $L^2$-norm for the Schrödinger equation \[ -Δu-V(x)u+λu=|u|^{p-2}u\qquadλ\in \mathbb{R},\quad u\in H^1(\mathbb{R}^N), \…