Normalized solutions for the fractional NLS with mass supercritical nonlinearity

Luigi Appolloni, Simone Secchi

We investigate the existence of solutions to the fractional nonlinear Schrödinger equation $(-\Delta {)}^{s}u=f(u)$ with prescribed $L^2$-norm ${\int }_{{\mathbb{R}}^N}|u{|}^{2}dx=m$ in the…