New approaches for Schrödinger equations with prescribed mass: The Sobolev subcritical case and The Sobolev critical case with mixed dispersion

Sitong Chen, Xianhua Tang

In this paper, we prove the existence of normalized solutions for the following Schrödinger equation \begin{equation*} \left\{ \begin{array}{ll} -Δu-λu=f(u), & x\in \R^N, \int_{\R^…