Normalized solutions to critical and supercritical Schrödinger equations in a ball

Jun Wang, Zhaoyang Yin

In this paper, we study radial normalized solutions to nonlinear Schrödinger equations in the unit ball \[ -Δu+λu=|u|^{p-1}u, \qquad \int_{B_1}|u|^2\,dx=ρ, \] where $\lambda$ is unknown…