Browsing by Author "Belchior, Pedro"

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    Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation.
    (2019) Belchior, Pedro; Bueno, Hamilton Prado; Miyagaki, Olimpio Hiroshi; Pereira, Gilberto de Assis
    Abstract. 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.