61 citations · 121 across the 31 of their papers we have counts for
9 papers · 1 filter
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, $$ where , , is…
Some remarks on the comparison principle in Kirchhoff equations
Giovany M. Figueiredo, Antonio Suarez
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Ki…
Multi-bump solutions for a Kirchhoff problem type
Claudianor O. Alves, Giovany M. Figueiredo
In this paper, we are going to study the existence of solution for the following Kirchhoff problem $$ \left\{ \begin{array}{l} M\biggl(\displaystyle\int_{\mathbb{R}^{3}}|\nabla u|^…
Nodal solutions of a NLS equation concentrating on lower dimensional spheres
Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we deal with a following nonlinear Schrodinger equation in dimension greater or equal to 3, with a subcritical power-type nonlinearity and a positive potential satisfy…
Ground states of elliptic problems involving non homogeneous operators
Giovany Figueiredo, Humberto Ramos Quoirin
We investigate the existence of ground states for functionals with nonhomogenous principal part. Roughly speaking, we show that the Nehari manifold method requires no homogeinity o…
A multiplicity result via Ljusternick-Schnirelmann category and morse theory for a fractional schrödinger equation in
Giovany M. Figueiredo, Gaetano Siciliano
In this work we study the following class of problems in where , is the fract…
On a nonlocal multivalued problem in an Orlicz-Sobolev space via Krasnoselskii's genus
Giovany M. Figueiredo, Jefferson A. Santos
This paper is concerned with the multiplicity of nontrivial solutions in an Orlicz-Sobolev space for a nonlocal problem involving N-functions and theory of locally Lispchitz contin…