1 citations · 2 across the 10 of their papers we have counts for
11 papers
Eigenvalue for a problem involving the fractional (p,q)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth
A. L. A. de Araujo, Aldo H. S. Medeiros
In this paper, we are interested in studying the multiplicity, uniqueness, and nonexistence of solutions for a class of singular elliptic eigenvalue problem for the Dirichlet fract…
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…
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 and 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^{…
Principal curves to fractional -Laplacian systems and related maximum and comparison principles
Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite, Aldo Henrique de Souza Medeiros
In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear…
Existence, nonexistence, and asymptotic behavior of solutions for -Laplacian equations involving critical exponential growth in the whole
Anderson L. A. de Araujo, Luiz F. O. Faria
In this paper, we are interested in studying the existence or non-existence of solutions for a class of elliptic problems involving the -Laplacian operator in the whole space. T…
An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy
Anderson L. A. de Araujo, Artur C. Fassoni, Luís F. Salvino
We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effe…
Conditions to the existence of center in planar systems and center for Abel equations
Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves
Abel equations of the form , , where is a constant, and are continuous functions, are of interest because of their close re…
Some results on Ricatti Equations, Floquet Theory and Applications
Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves +1
In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One these results p…
A Quasilinear Elliptic Equation with Oscillating Nonlinearity
Rafael dos Reis Abreu, Anderson Luis Albuquerque de Araujo
We find a solution of a quasilinear elliptic equation with Dirichlet's boundary condition on a smooth bounded domain and involving an unbounded continuous nonlinearity with oscilla…
Existence of Solution for an Elliptic Problem with a Sublinear Term
Rafael dos Reis Abreu, Anderson Luis Albuquerque de Araujo
In this work we prove the existence of a classical positive solution for an elliptic equation with a sublinear term. We use Galerkin approximations to show existence of such soluti…
An asymptotic formula for Goldbach's conjecture with monic polynomials in
Abílio Lemos, Anderson L. A. Araujo
In this paper, we consider , where $$θ= \sqrt{-k} \,\,\,\, \mbox{if}\;\;\;-k\not\equiv 1 \;(\mbox{mod}\;4)\,\,\,\,\mbox{or}\,\,\,\, θ=\frac{\sqrt{-k}+1}{2} \,\,\,\…