Article
Generalized eigenvalue problem for an interface elliptic equation
Author/s | Maia, Braulio Brendo Vasconcelos
Molina Becerra, Mónica Morales Rodrigo, Cristian Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2024-05-05 |
Deposit Date | 2024-06-03 |
Published in |
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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 ... 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; but unlike previous results, we consider the case of different growth rates in each subdomain. |
Funding agencies | Junta de Andalucía |
Project ID. | PGC 2018-0983.08-B-I00
US-1380740 P20-01160 US-1381261 TIC-0130 |
Citation | Maia, B.B.V., Molina Becerra, M., Morales Rodrigo, C. y Suárez Fernández, A. (2024). Generalized eigenvalue problem for an interface elliptic equation. Journal of Differential Equations, 390, 494-524. https://doi.org/10.1016/j.jde.2024.02.015. |
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