Bueno, Hamilton PradoMamani, Guido GutierrezPereira, Gilberto de Assis2023-02-032023-02-032019BUENO, H.; MAMANI, G. G.; PEREIRA, G. de A. Ground state of a magnetic nonlinear Choquard equation. Nonlinear Analysis-Theory Methods & Applications, v. 181, p. 189-199, 2019. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0362546X18302967>. Acesso em: 06 jul. 2022.0362-546Xhttp://www.repositorio.ufop.br/jspui/handle/123456789/16102We consider the stationary magnetic nonlinear Choquard equation −(∇ + iA(x))2u + V(x)u = (1|x|α ∗ (|u|) ) f(|u|) |u| u, where A : RN → RN is a vector potential, V is a scalar potential, f : R → R and F is the primitive of f . Under mild hypotheses, we prove the existence of a ground state solution for this problem. We also prove a simple multiplicity result by applying Ljusternik–Schnirelmann methods.en-USrestritoVariational methodsSplitting lemmaArtigo publicado em periodicohttps://www.sciencedirect.com/science/article/pii/S0362546X18302967https://doi.org/10.1016/j.na.2018.11.012