Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation

Louis Jeanjean, Thanh Trung Le

We look for solutions to the Schrödinger-Poisson-Slater equation $$-\Delta u+\lambda u-\gamma (|x{|}^{-1}\ast |u{|}^2)u-a|u{|}^{p-2}u=0\text{in}{\mathbb{R}}^3,$$ which satisfy \begin{…