Anderson L. A. de Araújo

collaborators

3 papers

math.FA2023

Fixed Point Theorem: Variants, Affine Context and Some Consequences

Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite

In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer's Fixed Point Theorem. For instance, the affin…

math.AP2023

The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms

Anderson L. A. de Araujo, Grey Ercole, Julio C. Lanazca Vargas

We consider, for $a, l \geq 1,$ $b, s, α > 0,$ and $p > q \geq 1,$ the homogeneous Dirichlet problem for the equation $-Δ_{p}u=λu^{q-1}+βu^{a-1}\left\vert \nabla u\right\vert ^{b}+mu^{l-1}e^{…

math.AP2016

Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus

Anderson L. A. de Araujo

We present a result of existence of infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annular domains, when $p \leq N$ , contouring the failure of comp…