3 papers
math.AP2020
Existence of solutions for a fractional Choquard--type equation in with critical exponential growth
Rodrigo Clemente, José Carlos de Albuquerque, Eudes Barboza
In this paper we study the following class of fractional Choquard--type equations \[ (-Δ)^{1/2}u + u=\Big( I_μ\ast F(u)\Big)f(u), \quad x\in\mathbb{R}, \] where denote…
math.AP2019
On the extreme value of the Nehari manifold method for a class of Schrödinger equations with indefinite weight functions
José Carlos de Albuquerque, Kaye Silva
In this work we are concerned with the following class of equations \[ -Δ_p u -λh(x)|u|^{p-2}u=f(x)|u|^{γ-2}u, \quad \mbox{in } \mathbb{R}^N, \] involving indefinite weight functio…
math.AP2018
Ground states for a linearly coupled system of Schrödinger equations on
João Marcos do Ó, José Carlos de Albuquerque
We study the following class of linearly coupled Schrödinger elliptic systems $$\left\{ \begin{array}{lr} -Δu+V_{1}(x)u=μ|u|^{p-2}u+λ(x)v, & \quad x\in\mathbb{R}^{N}, \\ -Δv+V_{2}(…