English

Generalized eigenvalue problem for an interface elliptic equation

Analysis of PDEs 2024-08-08 v2

Abstract

In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal eigenvalues as a level set of a concave and regular function. As application, we study a problem arising in population dynamics. In these problems each species lives in a subdomain, and they interact in a common border, which acts as a geographical barrier.

Keywords

Cite

@article{arxiv.2307.01818,
  title  = {Generalized eigenvalue problem for an interface elliptic equation},
  author = {Braulio B. V. Maia and Mónica Molina-Becerra and Cristian Morales-Rodrigo and Antonio Suárez},
  journal= {arXiv preprint arXiv:2307.01818},
  year   = {2024}
}

Comments

29 pages

R2 v1 2026-06-28T11:22:03.484Z