2 citations · 2 across the 9 of their papers we have counts for
9 papers
On a fractional harmonic oscillator: existence and inexistence of solution, regularity and decay properties
Hamilton P. Bueno, Aldo H. S. Medeiros, Olimpio H. Miyagaki +1
Under simple hypotheses on the nonlinearity , we consider the fractional harmonic operator problem \begin{equation}\label{abstr}\sqrt{-Δ+|x|^2}\,u=f(x,u)\ \ \textrm{in }\ \mathb…
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…
A problem involving competing and intrinsic operators
Aldo H. S. Medeiros, Dumitru Motreanu
The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term com…
On the limiting problems for two eigenvalue systems and variations
Hamilton P Bueno, Aldo H S Medeiros
Let be a bounded, smooth domain. Supposing that , and $\displaystyle\lim_{p \to \infty} α(p)/{p} = θ\in (0,1)…
Existence of nonnegative solutions for fractional Schrödinger equations with Neumann condition
Hamilton Bueno, Aldo H. S. Medeiros
In this paper we study a Neumann problem for the fractional Laplacian, namely \begin{equation}\left\{ \begin{array}{rcll} \varepsilon^{2s}(- Δ)^{s}u + u &=& f(u) \ \ &\mbox{in} \ \…
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, regularity, asymptotic decay and radiality of solutions to some extension problems
Hamilton Bueno, Aldo H. S. Medeiros, G. A. Pereira
Supposing only that and , for some ,…
On the behavior of least energy solutions of a fractional -Laplacian problem as p goes to infinity
Grey Ercole, Aldo H. S. Medeiros, Gilberto A. Pereira
We study the behavior as of a positive least energy solution of the problem \[ \left\{\begin{array} [c]{lll} \left[ \left( -Δ_{p}\right) ^α+\left( -Δ_…
Local behaviour and existence of solutions of the fractional (p,q)-Laplacian
Emerson Abreu, A. H. Souza Medeiros
In this paper, we consider the regularity of weak solutions (in an appropriate space) to the elliptic partial differential equation \begin{equation*} (-Δ_{p})^{s} u + (-Δ_{q})^{s}…