63 citations · 568 across the 51 of their papers we have counts for
12 papers · 1 filter
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…
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…
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…
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…
Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
Gennaro Infante
We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional…
A non-variational approach to the existence of nonzero positive solutions for elliptic systems
José Ángel Cid, Gennaro Infante
We provide new results on the existence of nonzero positive weak solutions for a class of second order elliptic systems. Our approach relies on a combined use of iterative techniqu…
Nonzero radial solutions for elliptic systems with coupled functional BCs in exterior domains
Filomena Cianciaruso, Gennaro Infante, Paolamaria Pietramala
We prove new results on the existence, non-existence, localization and multiplicity of nontrivial radial solutions of a system of elliptic boundary value problems on exterior domai…
Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions
Gennaro Infante, Mateusz Maciejewski
In this paper we study the existence, localization and multiplicity of positive solutions for parabolic systems with nonlocal initial conditions. In order to do this, we extend an…
A topological approach to the existence and multiplicity of positive solutions of -Laplacian systems
Gennaro Infante, Mateusz Maciejewski, Radu Precup
In this paper we develop a new theory for the existence, localization and multiplicity of positive solutions for a class of non-variational,quasilinear, elliptic systems. In order…