A Lagrangian approach for prescribed mass solutions of cubic-quintic Schrödinger equations and $L^2$-supercritical problems

Silvia Cingolani, Marco Gallo, Kazunaga Tanaka

We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ${\mathbb{R}}^N$ ($N\ge 2$): $$ (*)_m \quad - Δu + μu = g(u) \quad \text{…