activity
20132020
most citedNontrivial solutions of Hammerstein integral equations with reflections

1 citations · 2 across the 3 of their papers we have counts for

collaborators

8 papers

math.CA20201 cited

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…

math.AP2020

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…

math.AP2019

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…

math.CA2019

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…

math.AP2019

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…

math.CA2019

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…