4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.FA2025
On compact embeddings in and fractional spaces
Hamilton Bueno, Aldo Medeiro, Olimpio Miyagaki +1
The study of the fractional Laplacian operator in with Dirichlet boundary conditions gained enormous momentum through its identification with a Neumann oper…
math.AP2024
On a fractional harmonic oscillator: existence and inexistence of solution, regularity and decay properties
Hamilton P. Bueno, Aldo H. S. Medeiros, Olimpio H. Miyagaki +1
Under simple hypotheses on the nonlinearity , we consider the fractional harmonic operator problem \begin{equation}\label{abstr}\sqrt{-Δ+|x|^2}\,u=f(x,u)\ \ \textrm{in }\ \mathb…
math.AP2018★ 4 cited
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…