Normalized solution to the Schödinger equation with potential and general nonlinear term: Mass super-critical case

Yanheng Ding, Xuexiu Zhong

In present paper, we prove the existence of solutions $(\lambda ,u)\in \mathbb{R}\times H^1({\mathbb{R}}^N)$ to the following Schrödinger equation $$ \begin{cases} -Δu(x)+V(x)u(x)+λu(x)=g(u(x))\quad &\hbo…