Multiple normalized solutions for a Sobolev critical Schrödinger equation

Louis Jeanjean, Thanh Trung LE

We study the existence of standing waves, of prescribed $L^2$-norm (the mass), for the nonlinear Schrödinger equation with mixed power nonlinearities $$ i \partial_t ϕ+ Δϕ+ μϕ|ϕ|^{…