8 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…
Birkhoff-Kellogg type results in product spaces and their application to differential systems
Alessandro Calamai, Gennaro Infante, Jorge RodrÃguez-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 existence result in annular regions times conical shells and its application to nonlinear Poisson systems
Gennaro Infante, Giovanni Mascali, Jorge RodrÃguez-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…
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…
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…