63 citations · 568 across the 51 of their papers we have counts for
7 papers · 1 filter
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…
Solvability of Hammerstein integral equations with applications to boundary value problems
Daria Bugajewska, Gennaro Infante, Piotr Kasprzak
In this paper we present some new results regarding the solvability of nonlinear Hammerstein integral equations in a special cone of continuous functions. The proofs are based on a…
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…
New results for the Liebau phenomenon via fixed point index
José Ángel Cid, Gennaro Infante, Milan Tvrdý +1
We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new…
Solutions of perturbed Hammerstein integral equations with applications
Filomena Cianciaruso, Gennaro Infante, Paolamaria Pietramala
By means of topological methods, we provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of perturbed Hammerstein…
Nontrivial solutions of systems of nonlocal Caputo fractional BVPs
Gennaro Infante, Samira Rihani
We discuss the existence, non-existence and multiplicity of nontrivial solutions for systems of Caputo fractional differential equations subject to nonlocal boundary conditions. Ou…
Nonlinear perturbed integral equations related to nonlocal boundary value problems
Alberto Cabada, Gennaro Infante, F. Adrián F. Tojo
By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equ…