Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains
We extend Theorem 1.1 of [J. Math. Anal. Appl. 435 (2016), 1738-1752] to show the uniqueness of large solutions for the system of (1) in star-shaped domains. This result is due to the maximum principle for cooperative systems of [J. López-Gómez and M. Molina-Meyer, Diff. Int. Eq. 7 (1994), 383-398],...
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| Format: | Article |
| Language: | English |
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Sciendo
2017-06-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
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| Online Access: | https://doi.org/10.21042/AMNS.2017.1.00021 |
| _version_ | 1818308695750082560 |
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| author | Maire Luis |
| author_facet | Maire Luis |
| author_sort | Maire Luis |
| collection | DOAJ |
| description | We extend Theorem 1.1 of [J. Math. Anal. Appl. 435 (2016), 1738-1752] to show the uniqueness of large solutions for the system of (1) in star-shaped domains. This result is due to the maximum principle for cooperative systems of [J. López-Gómez and M. Molina-Meyer, Diff. Int. Eq. 7 (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions. |
| first_indexed | 2024-12-13T07:18:22Z |
| format | Article |
| id | doaj.art-02d43f1786a749ac99255e87abb6c709 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-13T07:18:22Z |
| publishDate | 2017-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-02d43f1786a749ac99255e87abb6c7092022-12-21T23:55:28ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562017-06-012124925810.21042/AMNS.2017.1.00021Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domainsMaire Luis0Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, SpainWe extend Theorem 1.1 of [J. Math. Anal. Appl. 435 (2016), 1738-1752] to show the uniqueness of large solutions for the system of (1) in star-shaped domains. This result is due to the maximum principle for cooperative systems of [J. López-Gómez and M. Molina-Meyer, Diff. Int. Eq. 7 (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.https://doi.org/10.21042/AMNS.2017.1.00021large positive solutioncooperative systemlogistic equationuniquenesskeller-osserman35j5735k5735b5035b51 |
| spellingShingle | Maire Luis Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains Applied Mathematics and Nonlinear Sciences large positive solution cooperative system logistic equation uniqueness keller-osserman 35j57 35k57 35b50 35b51 |
| title | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_full | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_fullStr | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_full_unstemmed | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_short | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_sort | large solutions for cooperative logistic systems existence and uniqueness in star shaped domains |
| topic | large positive solution cooperative system logistic equation uniqueness keller-osserman 35j57 35k57 35b50 35b51 |
| url | https://doi.org/10.21042/AMNS.2017.1.00021 |
| work_keys_str_mv | AT maireluis largesolutionsforcooperativelogisticsystemsexistenceanduniquenessinstarshapeddomains |