32 citations · 156 across the 21 of their papers we have counts for
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Positive Solutions for the p-Laplacian with Dependence on the Gradient
Hamilton Bueno, Grey Ercole, Wenderson Ferreira +1
We prove a result of existence of positive solutions of the Dirichlet problem for in a bounded domain , where is the…
Computing the function via the inverse power method
Rodney Josué Biezuner, Grey Ercole, Eder Marinho Martins
In this paper, we discuss a new iterative method for computing . This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigen…
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…
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift
Rodney Josué Biezuner, Grey Ercole, Breno Loureiro Giacchini +1
In this paper we present an iterative method, inspired by the inverse iteration with shift technique of finite linear algebra, designed to find the eigenvalues and eigenfunctions o…
Computing the first eigenpair of the p-Laplacian via inverse iteration of sublinear supersolutions
Rodney Josué Biezuner, Grey Ercole, Eder Marinho Martins
We introduce an iterative method for computing the first eigenpair for the -Laplacian operator with homogeneous Dirichlet data as the limit of a…
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…