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 investigate the existence of positive eigenvalues of systems of elliptic functional differential equations. An example is presented to illustrate the theory.

Eigenvalues of Elliptic Functional Differential Systems via a Birkhoff–Kellogg Type Theorem

Infante, Gennaro
2021-01-01

Abstract

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 investigate the existence of positive eigenvalues of systems of elliptic functional differential equations. An example is presented to illustrate the theory.
2021
Positive solution, nonlocal elliptic system, functional boundary condition, cone, Birkhoff-Kellogg type theorem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/312207
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