Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem

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.

arXiv comment9 pages. arXiv admin note: text overlap with arXiv:1903.10900

References in corpus (2)

• Nonzero positive solutions of nonlocal elliptic systems with functional BCs
• Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs

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• Nonzero positive solutions of fractional Laplacian systems with functional terms