Multi-peak solutions for a magnetic nonlinear Schrödinger equation with exponential critical growth in ${\mathbb{R}}^2$

Pietro d'Avenia, Chao Ji, Qingyue Li

In this paper, we study the following magnetic nonlinear Schrödinger equation \[ \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(|u|^{2})u\,\ \text{in}\,\ \mathbb{R}^{2}…