61 citations · 121 across the 31 of their papers we have counts for
37 papers
Concentration Phenomena for -Laplace Equation Under Discontinuous Nonlinearities and Penalization Method
Ankit, Giovany M. Figueiredo, Abhishek Sarkar
In this paper, we investigate the existence and concentration of solutions to a -Laplace equation in involving a discontinuous nonlinearity and critical expon…
Ground states of elliptic problems over cones
Giovany M. Figueiredo, Humberto Ramos Quoirin, Kaye Silva
Given a reflexive Banach space , we consider a class of functionals that do not behave in a uniform way, in the sense that the map , , do…
Multiple solutions for a Schrödinger-Bopp-Podolsky system with positive potentials
Giovany M. Figueiredo, Gaetano Siciliano
In the paper we prove existence of solutions for a Schrödinger-Bopp-Podolsky system under positive potentials. We use the Ljusternick-Schnirelmann and Morse Theories to get multipl…
Existence of Positive Eigenfunctions to an Anisotropic Elliptic Operator via Sub-Super Solutions Method
Simone Ciani, Giovany M. Figueiredo, Antonio Suàrez
Using the sub-supersolution method we study the existence of positive solutions for the anisotropic problem \begin{equation} -\sum_{i=1}^N\frac{\partial}{\partial x_i}\left( \left|…
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|^{…
A sub-supersolution method for a class of nonlocal system involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro S. Tavares
In the present paper we study the existence of solutions for a class of nonlocal system involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution resu…
Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schrödinger equations
José Carlos de Albuquerque, João Marcos do Ó, Giovany M. Figueiredo
In this paper we prove the existence of positive ground state solution for a class of linearly coupled systems involving Kirchhoff-Schrödinger equations. We study the subcritical a…
Existence and asymptotic behaviour of solutions for a quasi-linear schrodinger-poisson system under a critical nonlinearity
Giovany M. Figueiredo, Gaetano Siciliano
In this paper we consider the following quasilinear Schrödinger-Poisson system $$ \left\{ \begin{array}[c]{ll} - Δu +u+ϕu = λf(x,u)+|u|^{2^{*}-2}u &\ \mbox{in } \mathbb{R}^{3} \\ -…
Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
G. M. Figueiredo, M. T. O. Pimenta
In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, without any assumption of homogeneity, over a set which has its de…
A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro da S. Tavares
In the present paper we study the existence of solutions for some nonlocal problems involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution method
Existence of bounded variation solutions for a Laplacian problem with vanishing potentials
G. M. Figueiredo, M. T. O. Pimenta
In this work it is studied a quasilinear elliptic problem in the whole space involving the Laplacian operator, with potentials which can vanish at infinity. The…
Ground state solutions for a fractional Schrödinger equation with critical growth
Vincenzo Ambrosio, Giovany M. Figueiredo
In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation \begin{align*} (-Δ)^{s} u+V(x)u= f(u) \mbox{ in }…
Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain
G. M. Figueiredo, G. Siciliano
We prove existence of multiple positive solutions for a {\sl fractional scalar field equation} in a bounded domain, whenever tends to the critical Sobolev exponent. By means of…
Ground state solutions for fractional scalar field equations under a general critical nonlinearity
Claudianor O. Alves, Giovany M. Figueiredo, Gaetano Siciliano
In this paper we study existence of ground state solution to the following problem $$ (- Δ)^αu = g(u) \ \ \mbox{in} \ \ \mathbb{R}^{N}, \ \ u \in H^α(\mathbb R^N) $$ where …
Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we study the existence of ground-state solutions of Dirac equations with potentials which are allowed to vanish at infinity. The approach is based on minimization of t…
Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations
Vincenzo Ambrosio, Giovany M. Figueiredo, Teresa Isernia +1
We consider the following class of fractional Schrödinger equations $$ (-Δ)^α u + V(x)u = K(x) f(u) \mbox{in} \mathbb{R}^{N} $$ where , , is the fractio…
Multiplicity results for the fractional laplacian in expanded domains
G. M. Figueiredo, M. T. O Pimenta, G. Siciliano
In this paper we establish the multiplicity of nontrivial weak solutions for the problem in ,\ on , where , is a smooth and…
Existence of least energy nodal solution with two nodal domains for a generalized Kirchhoff problem in an Orlicz Sobolev space
Giovany M. Figueiredo, Jefferson A. Santos
We show the existence of a nodal solution with two nodal domains for a generalized Kirchhoff equation of the type $$ -M\left(\displaystyle\int_ΩΦ(|\nabla u|)dx\right)Δ_Φu = f(u) \…
Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
Claudianor O. Alves, Giovany M. Figueiredo, Minbo Yang
We study the following class of nonlinear Choquard equation, $$ -Δu +V(x)u =\Big( \frac{1}{|x|^μ}\ast F(u)\Big)f(u) \quad \mbox{in} \quad \R^N, $$ where , , is…
Some remarks on the comparison principle in Kirchhoff equations
Giovany M. Figueiredo, Antonio Suarez
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Ki…