G. A. Pereira

activity

20172020

most citedTorsion functions and the Cheeger problem: a fractional approach

4 citations · 4 across the 3 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

4 papers · 2 filters

math.AP2018

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 $(- Δ + m^{2})^{s} u = f (u)$ in $R^{N}$ and its harmonic extension to $R_{+}^{N + 1}$ when $0 < s < 1$ . So, our s…

math.AP2018

Asymptotic behavior of extremals for fractional Sobolev inequalities associated with singular problems

Grey Ercole, Gilberto Assis Pereira, Rémy Sanchis

Let $Ω$ be a smooth, bounded domain of $R^{N}$ , $ω$ be a positive, $L^{1}$ -normalized function, and $0 < s < 1 < p .$ We study the asymptotic behavior, as $p \to \infty,$ o…

math.AP2018

Remarks about a generalized pseudo-relativistic Hartree equation

Hamilton Bueno, Olimpio H. Miyagaki, Gilberto A. Pereira

With appropriate hypotheses on the nonlinearity $f$ , we prove the existence of a ground state solution $u$ for the problem \[(-Δ+m^2)^σu+Vu=\left(W*F(u)\right)f(u)\ \ \text{in }\ \…

math.AP2018

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…