4 citations · 7 across the 9 of their papers we have counts for
11 papers
Continuation theorems for periodic systems and applications to problems with nonlinear time-dependent differential operators
Pierluigi Benevieri, Guglielmo Feltrin
In this paper we propose some continuation theorems for the periodic problem \begin{equation*} \begin{cases} \, x_{i}' = g_{i}(t,x_{i+1}), &i=1,\ldots,n-1, \\ \, x_{n}' = h(t,x_{1}…
Atypical bifurcation for periodic solutions of -Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
In this paper, we study the -periodic solutions of the parameter-dependent -Laplacian equation \begin{equation*} (ϕ(x'))'=F(λ,t,x,x'). \end{equation*} Based on the topologica…
An introduction to topological degree in Euclidean spaces
Pierluigi Benevieri, Massimo Furi, Maria Patrizia Pera +1
This paper aims to provide a careful and self-contained introduction to the theory of topological degree in Euclidean spaces. It is intended for people mostly interested in analysi…
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd d…
A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We extend to the infinite dimensional context the link between two completely different topics recently highlighted by the authors: the classical eigenvalue problem for real square…
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We consider the nonlinear eigenvalue problem , , where are real parameters, are bounded linear operators…