G. A. Pereira

activity

20152020

most citedAsymptotics for the best Sobolev constants and their extremal functions

24 citations · 47 across the 9 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 4 cited

Asymptotic behavior as $p \to \infty$ of least energy solutions of a $(p, q (p))$ -Laplacian problem

Claudianor Alves, Grey Ercole, Gilberto de Assis Pereira

\[ \left\{ \begin{array} [c]{lll} -\left( Δ_{p}+Δ_{q(p)}\right) u=λ_{p}\left\vert u(x_{u})\right\vert ^{p-2}u(x_{u})δ_{x_{u}} & \mathrm{in} & Ω\\ u=0 & \mathrm{on} & \partialΩ, \en…

math.AP2017★ 10 cited

Fractional Sobolev inequalities associated with singular problems

Grey Ercole, Gilberto de Assis Pereira

In this paper we consider Sobolev inequalities associated with singular problems for the fractional $p$ -Laplacian operator in a bounded domain of $R^{N}$ , $N \geq 2$ .

Asymptotic behavior as p→∞ of least energy solutions of a (p,q(p))-Laplacian problem

Fractional Sobolev inequalities associated with singular problems

Asymptotic behavior as $p \to \infty$ of least energy solutions of a $(p, q (p))$ -Laplacian problem