Grey Ercole

most citedAsymptotics for the best Sobolev constants and their extremal functions

24 citations · 36 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2017★ 2 cited

Minimization of quotients with variable exponents

Claudianor O. Alves, Mario Daniel H. Bolaños, Grey Ercole

Let $Ω$ be a bounded domain of $R^{N}$ , $p \in C^{1} (Ω),$ $q \in C (Ω)$ and $l, j \in N .$ We describe the asymptotic behavior of the minimizers of the…

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 $R^{N}$ , $N \geq 2$ .

math.AP2015★ 24 cited

Asymptotics for the best Sobolev constants and their extremal functions

Grey Ercole, Gilberto de Assis Pereira

Let $Ω$ be a bounded domain of $R^{N},$ $N \geq 2.$ Let, for $p > N,$ \[ Λ_{p}(Ω):=\inf\left\{ \left\Vert \nabla u\right\Vert _{p}^{p}:u\in W_{0}^{1,p}(Ω)\quad and\quad\left\V…