Bueno, Hamilton PradoMiyagaki, Olimpio HiroshiPereira, Gilberto de Assis2023-02-032023-02-032019BUENO, H. P.; MIYAGAKI, O. H.; PEREIRA, G. A. Remarks about a generalized pseudo-relativistic Hartree equation. Journal of Differential Equations, v. 266, n. 1, p. 876-909, 2019. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0022039618304224>. Acesso em: 06 jul. 2022.0022-0396http://www.repositorio.ufop.br/jspui/handle/123456789/16103With appropriate hypotheses on the nonlinearity f , we prove the existence of a ground state solution u for the problem (− + m2) σ u + V u = (W ∗ F (u)) f (u) in RN, where 0 <σ < 1, V is a bounded continuous potential and F the primitive of f . We also show results about the regularity of any solution of this problem.en-USrestritoVariational methodsFractional LaplacianArtigo publicado em periodicohttps://www.sciencedirect.com/science/article/pii/S0022039618304224https://doi.org/10.1016/j.jde.2018.07.058