1 citations · 2 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…