32 citations · 156 across the 21 of their papers we have counts for
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math.AP2012★ 22 cited
A quasilinear problem with fast growing gradient
Hamilton Bueno, Grey Ercole
In this paper we consider the following Dirichlet problem for the -Laplacian in the positive parameters and : [{{array} [c]{rcll}% -Δ_{p}u & = & λh(x,u)+βf(x,u,\nabla u)…
math.AP2012★ 21 cited
Absolute continuity of the best Sobolev constant of a bounded domain
Grey Ercole
Let $λ_{q}:=\inf{\Vert\nabla u\Vert_{L^{p}(Ω)}^{p}/\Vertu\Vert_{L^{q}(Ω)}^{p}:u\in W_{0}^{1,p}(Ω)\setminus{0}} $, where is a bounded and smooth domain of $1<p…
math.AP2012★ 4 cited
On the resonant Lane-Emden problem for the p-Laplacian
Grey Ercole
We study the positive solutions of the Lane-Emden equation in with homogeneous Dirichlet boundary conditions, where is a boun…