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arXiv · 2006.09244

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

Gennaro Infante
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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.

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Gennaro Infante. 2020-06-15. Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem. https://doi.org/10.3390/math9010004

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