Generalized eigenvalue problem for an interface elliptic equation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916348771172352 |
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| author | Maia, Braulio B. V. Molina-Becerra, Mónica Morales-Rodrigo, Cristian Suárez, Antonio |
| author_facet | Maia, Braulio B. V. Molina-Becerra, Mónica Morales-Rodrigo, Cristian Suárez, Antonio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01818 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized eigenvalue problem for an interface elliptic equation Maia, Braulio B. V. Molina-Becerra, Mónica Morales-Rodrigo, Cristian Suárez, Antonio Analysis of PDEs 35A15, 35B33, 35B25, and 35J60 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. |
| title | Generalized eigenvalue problem for an interface elliptic equation |
| topic | Analysis of PDEs 35A15, 35B33, 35B25, and 35J60 |
| url | https://arxiv.org/abs/2307.01818 |