61 citations · 121 across the 31 of their papers we have counts for
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Multiple positive bound state solutions of a critical Choquard equation
Claudianor O. Alves, Giovany M. Figueiredo, Riccardo Molle
IIn this paper we consider the problem $$ \left\{ \begin{array}{rcl} -Δu+V_λ(x)u=(I_μ*|u|^{2^{*}_μ})|u|^{2^{*}_μ-2}u \ \ \mbox{in} \ \ \mathbb{R}^{N},\\ u>0 \ \ \mbox{in} \ \ \math…
A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces
Giovany M. Figueiredo, Abdelkrim Moussaoui, Gelson C. G. dos Santos +1
In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.
Existence and profile of ground-state solutions to a Laplacian problem in
Claudianor O. Alves, Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we prove the existence of ground state solutions for the following class of problems \begin{equation*} \left\{ \begin{array}{ll} \displaystyle - Δ_1 u + (1 + λV(x))\fr…
Quasilinear Schrödinger-Poisson system under an exponential critical nonlinearity: existence and asymptotic of solutions
Giovany M. Figueiredo, Gaetano Siciliano
In this paper we consider the following quasilinear Schrödinger-Poisson system in a bounded domain in : $$ \left\{ \begin{array}[c]{ll} - Δu +ϕu = f(u) &\ \mbox{in…
Multiplicity of positive solutions for a quasilinear Schrödinger equation with an almost critical nonlinearity
Giovany M. Figueiredo, Uberlandio B. Severo, Gaetano Siciliano
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem \begin{equation*} \left\{ \begin{array}[c]{ll} -Δu - Δ(u^2)u = |u|^{…