Ground state of a magnetic nonlinear Choquard equation

Hamilton Bueno, Guido G. Mamani, Gilberto A. Pereira

We consider the stationary magnetic nonlinear Choquard equation \[-(\nabla+iA(x))^2u+ V(x)u=\bigg(\frac{1}{|x|^α}*F(|u|)\bigg)\frac{f(|u|)}{|u|}{u},\] where $A: \mathbb{R}^{N}\righ…