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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.AP2010
A quasilinear problem in two parameters depending on the gradient
Hamilton Bueno, Grey Ercole
The existence of positive solutions is considered for the Dirichlet problem \[ \left\{ \begin{array} [c]{rcll}% -Δ_{p}u & = & λω_{1}(x)\left\vert u\right\vert ^{q-2}% u+βω_{2}(x)\l…
math.AP2010★ 32 cited
Solutions of the Cheeger problem via torsion functions
Hamilton Bueno, Grey Ercole
The Cheeger problem for a bounded domain , consists in minimizing the quotients among all smooth subdomains and the Che…