G. A. Pereira

activity

20182020

most citedTorsion functions and the Cheeger problem: a fractional approach

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

collaborators

7 papers

math.AP2020

An optimal pointwise Morrey-Sobolev inequality

Grey Ercole, Gilberto de Assis Pereira

Let $Ω$ be a bounded, smooth domain of $R^{N},$ $N \geq 1.$ For each $p > N$ we study the optimal function $s = s_{p}$ in the pointwise inequality \[ \left\vert v(x)\right\vert…

math.AP2020★ 4 cited

Torsion functions and the Cheeger problem: a fractional approach

Hamilton Bueno, Grey Ercole, Shirley S. Macedo +1

Let $Ω$ be a Lipschitz bounded domain of $R^{N}$ , $N \geq 2$ . The fractional Cheeger constant $h_{s} (Ω)$ , $0 < s < 1$ , is defined by \[h_s(Ω)=\inf_{E\subsetΩ}\frac{P_s(E)}{|E|},\:…

math.AP2019

Existence, regularity, asymptotic decay and radiality of solutions to some extension problems

Hamilton Bueno, Aldo H. S. Medeiros, G. A. Pereira

Supposing only that $t \to 0 lim \frac{f ( t )}{t} = 0$ and $t \to \infty lim \frac{f ( t )}{t ^{p}} = 0$ , for some $p \in (1, \frac{N + 1}{N - 1})$ ,…

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 }\ \…