9 citations · 11 across the 5 of their papers we have counts for
5 papers
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 …
A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
Patricia L. Cunha, Pietro d'Avenia, Alessio Pomponio +1
In this paper we give a multiplicity result for the following Chern-Simons-Schrödinger equation \[ -Δu+2q u \int_{|x|}^{\infty}\frac{u^{2}(s)}{s}h_u(s)ds +q u\frac{h^{2}_u(|x|)}{|x…
On fractional Choquard equations
Pietro d'Avenia, Gaetano Siciliano, Marco Squassina
We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry…
On translation invariant constrained minimization problems with application to Schrödinger-Poisson equation
Jacopo Bellazzini, Gaetano Siciliano
In this paper we study the existence of minimizers for a class of constrained minimization problems that are invariant under translations. We call …