Normalized Solutions to Schrödinger Equations with Critical Exponent and Mixed Nonlocal Nonlinearities

Yanheng Ding, Hua-Yang Wang

We study the existence and nonexistence of normalized solutions $(u_a,{\lambda }_a)\in H^1({\mathbb{R}}^N)\times \mathbb{R}$ to the nonlinear Schrödinger equation with mixed nonlocal nonli…