On existence of multiple normalized solutions to a class of elliptic problems in whole ${\mathbb{R}}^N$ via penalization method

Claudianor O. Alves, Nguyen Van Thin

In this paper we study the existence of multiple normalized solutions to the following class of elliptic problems \begin{align*} \left\{ \begin{aligned} &-ε^2Δu+V(x)u=λu+f(u), \qua…