Belchior, PedroBueno, Hamilton PradoMiyagaki, Olimpio HiroshiPereira, Gilberto de Assis2023-02-072023-02-072019BELCHIOR, P. et al. Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation. Asymptotic Analysis, v. 118, p. 269-295, 2020. Asymptotic Analysis, v. 118, p. 269-295, 2020. Disponível em: <https://content.iospress.com/articles/asymptotic-analysis/asy191561>. Acesso em: 06 jul. 2022.1875-8576http://www.repositorio.ufop.br/jspui/handle/123456789/16131Abstract. With appropriate hypotheses on the nonlinearity f , we prove the existence of a ground state solution u for the problem − + m2u + V u = W ∗ F (u) f (u) in RN, where V is a bounded potential, not necessarily continuous, and F the primitive of f . We also show that any of this problem is a classical solution. Furthermore, we prove that the ground state solution has exponential decay.en-USrestritoVariational methodsExponential decayFractional laplacianArtigo publicado em periodicohttps://content.iospress.com/articles/asymptotic-analysis/asy191561https://doi.org/10.3233/ASY-191561