32 citations · 73 across the 15 of their papers we have counts for
4 papers · 1 filter
Pohozaev identities for a pseudo-relativistic Schrödinger operator and applications
H. Bueno, G. A Pereira, A. H. Souza Medeiros
In this paper we prove a Pohozaev-type identity for both the problem in and its harmonic extension to when . So, our s…
Remarks about a generalized pseudo-relativistic Hartree equation
Hamilton Bueno, Olimpio H. Miyagaki, Gilberto A. Pereira
With appropriate hypotheses on the nonlinearity , we prove the existence of a ground state solution for the problem \[(-Δ+m^2)^σu+Vu=\left(W*F(u)\right)f(u)\ \ \text{in }\ \…
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…
Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation
P. Belchior, H. Bueno, O. H. Miyagaki +1
With appropriate hypotheses on the nonlinearity , we prove the existence of a ground state solution for the problem \[\sqrt{-Δ+m^2}\, u+Vu=\left(W*F(u)\right)f(u)\ \ \text{i…