Anderson L. A. de Araujo

collaborators

3 papers

math.AP2018

Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term

Anderson Luis Albuquerque de Araujo, Luiz Fernando de Oliveira Faria

We establish the existence of positive solutions for a nonlinear elliptic Dirichlet problem in dimension $N$ involving the $N$ -Laplacian. The nonlinearity considered depends on the…

math.AP2018

On fractional regularity methods for a class of nonlocal problems

Anderson L. A. de Araújo, Luís H. de Miranda

In the past years, the phenomenon of fractional regularity has been addressed for a large class of linear and/or quasilinear differential operators, mostly, in terms of certain Bes…

math.SP2017

Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains

Anderson L. A. de Araujo

In this paper we prove an asymptotic behavior for the radial eigenvalues to the Dirichlet $p$ -Laplacian problem $- Δ_{p} u = λ ∣ u ∣^{p - 2} u$ in $Ω$ , $u = 0$ on $\partial Ω$ , where $Ω$ is…