Semiclassical states for a magnetic nonlinear Schrödinger equation with exponential critical growth in ${\mathbb{R}}^2$

Pietro d'Avenia, Chao Ji

This paper is devoted to the magnetic nonlinear Schrödinger equation \[ \Big(\frac{\varepsilon}{i}\nabla-A(x)\Big)^{2}u+V(x)u=f(| u|^{2})u \text{ in } \mathbb{R}^{2}, \] where $\va…