63 citations · 568 across the 51 of their papers we have counts for
51 papers
Analysis and Optimal Design of Equilibria in the Vlasov-Poisson System
Alfio Borzì, Gennaro Infante, Giovanni Mascali +1
The optimal design of equilibrium particle distributions generated by external electric fields is investigated in the framework of stationary Maxwellian equilibria of the Vlasov-Po…
An affine Birkhoff-Kellogg type result in product spaces and its application to differential systems
Alessandro Calamai, Gennaro Infante, Giuseppe Antonio Veltri
We prove a version of the Birkhoff-Kellogg theorem in product spaces, under affine transformations. This is a fairly natural framework that arises when dealing with parameter-depen…
A positive eigenvalue result for semilinear differential equations in Banach spaces with functional initial conditions
Gennaro Infante, Paola Rubbioni
We study the existence of positive eigenvalues with associated nonnegative mild eigenfunctions for a class of abstract initial value problems in Banach spaces with functional, poss…
Birkhoff-Kellogg type results in product spaces and their application to differential systems
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
We provide a new version of the well-known Birkhoff-Kellogg invariant-direction Theorem in product spaces. Our results concern operator systems and give the existence of component-…
An eigenvalue result for Hammerstein integral equations with sign changing nonlinearities and functional terms
Gennaro Infante, Giuseppe Antonio Veltri
We discuss, via a version of the Birkhoff-Kellogg theorem, the existence of positive and negative eigenvalues of Hammerstein integral equations with sign-changing nonlinearities an…
Eigenvalues of a third order BVP subject to functional BCs
Gennaro Infante, Paolo Lucisano
We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearit…
An existence result in annular regions times conical shells and its application to nonlinear Poisson systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide a new existence result for abstract nonlinear operator systems in normed spaces, by means of topological methods. The solution is located within the product of annular r…
On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains
Alessandro Calamai, Gennaro Infante
We investigate the existence of nontrivial solutions of parameter-dependent elliptic equations with deviated argument in annular-like domains in , with , s…
Optimal design of equilibrium solutions of the Vlasov-Poisson system by an external electric field
Alfio Borzì, Gennaro Infante, Giovanni Mascali
A new optimization framework to design steady equilibrium solutions of the Vlasov-Poisson system by means of external electric fields is presented. This optimization framework requ…
A Birkhoff-Kellogg type theorem for discontinuous operators with applications
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on af…
A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type m…
Nontrivial solutions of a parameter-dependent heat flow problem with deviated arguments
Alessandro Calamai, Gennaro Infante
By means of a recent Birkhoff-Kellogg type theorem set in affine cones, we discuss the solvability of a parameter-dependent thermostat problem subject to deviated arguments. We ill…
On fourth order retarded equations with functional boundary conditions: a unified approach
Alessandro Calamai, Gennaro Infante
By means of a recent Birkhoff-Kellogg type theorem, we discuss the solvability of a fairly general class of parameter-dependent fourth order retarded differential equations subject…
An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations
Alessandro Calamai, Gennaro Infante
In this short note we prove, by means of classical fixed point index, an affine version of a Birkhoff--Kellogg type theorem in cones. We apply our result to discuss the solvability…
On the solvability of a parameter-dependent cantilever-type BVP
Gennaro Infante
We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhof…
Nontrivial solutions of systems of perturbed Hammerstein integral equations with functional terms
Gennaro Infante
We discuss the solvability of a fairly general class of systems of perturbed Hammerstein integral equations with functional terms that depend on several parameters. The nonlinearit…
Positive solutions of BVPs on the half-line involving functional BCs
Gennaro Infante, Serena Matucci
We study the existence of positive solutions on the half-line of a second order ordinary differential equation subject to functional boundary conditions. Our approach relies on a c…
Nonzero positive solutions of fractional Laplacian systems with functional terms
Stefano Biagi, Alessandro Calamai, Gennaro Infante
We study the existence of non-zero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the not…
Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem
Gennaro Infante
Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigat…
Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs
Stefano Biagi, Alessandro Calamai, Gennaro Infante
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradi…
Positive solutions of systems of perturbed Hammerstein integral equations with arbitrary order dependence
Gennaro Infante
Motivated by the study of systems of higher order boundary value problems with functional boundary conditions, we discuss, by topological methods, the solvability of a fairly gener…
Nonzero positive solutions of nonlocal elliptic systems with functional BCs
Gennaro Infante
We discuss the existence and non-existence of non-negative weak solutions for second order nonlocal elliptic systems subject to functional boundary conditions. Our approach is base…
Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence
Gennaro Infante
We discuss the existence and non-existence of non-negative, non-decreasing solutions of certain perturbed Hammerstein integral equations with derivative dependence. We present some…
Multiple positive radial solutions for Neumann elliptic systems with gradient dependence
Filomena Cianciaruso, Gennaro Infante, Paolamaria Pietramala
We provide new results on the existence, non-existence and multiplicity of non-negative radial solutions for semilinear elliptic systems with Neumann boundary conditions on an annu…