61 citations · 121 across the 31 of their papers we have counts for
6 papers · 1 filter
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…