Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field

Jonathan Di Cosmo, Jean Van Schaftingen

We construct solutions to the nonlinear magnetic Schrödinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 Δ_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\…