English

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

Analysis of PDEs 2021-02-09 v1

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.

Keywords

Cite

@article{arxiv.2006.09244,
  title  = {Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem},
  author = {Gennaro Infante},
  journal= {arXiv preprint arXiv:2006.09244},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-23T16:22:37.761Z