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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.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…