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Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains
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| Zeitschriftentitel: | Applied Mathematics and Nonlinear Sciences |
|---|---|
| Personen und Körperschaften: | |
| In: | Applied Mathematics and Nonlinear Sciences, 2, 2017, 1, S. 249-258 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
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| Schlagwörter: |
| author_facet |
Maire, Luis Maire, Luis |
|---|---|
| author |
Maire, Luis |
| spellingShingle |
Maire, Luis Applied Mathematics and Nonlinear Sciences Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains Applied Mathematics Engineering (miscellaneous) Modeling and Simulation General Computer Science |
| author_sort |
maire, luis |
| spelling |
Maire, Luis 2444-8656 Walter de Gruyter GmbH Applied Mathematics Engineering (miscellaneous) Modeling and Simulation General Computer Science http://dx.doi.org/10.21042/amns.2017.1.00021 <jats:title>Abstract</jats:title> <jats:p>We extend Theorem 1.1 of [J. Math. Anal. Appl. <jats:bold>435</jats:bold> (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. <jats:bold>7</jats:bold> (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.</jats:p> Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains Applied Mathematics and Nonlinear Sciences |
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Applied Mathematics and Nonlinear Sciences |
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| title |
Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| title_unstemmed |
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 |
Applied Mathematics Engineering (miscellaneous) Modeling and Simulation General Computer Science |
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http://dx.doi.org/10.21042/amns.2017.1.00021 |
| publishDate |
2017 |
| physical |
249-258 |
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<jats:title>Abstract</jats:title>
<jats:p>We extend Theorem 1.1 of [J. Math. Anal. Appl. <jats:bold>435</jats:bold> (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. <jats:bold>7</jats:bold> (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.</jats:p> |
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| description | <jats:title>Abstract</jats:title> <jats:p>We extend Theorem 1.1 of [J. Math. Anal. Appl. <jats:bold>435</jats:bold> (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. <jats:bold>7</jats:bold> (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.</jats:p> |
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| imprint | Walter de Gruyter GmbH, 2017 |
| imprint_str_mv | Walter de Gruyter GmbH, 2017 |
| institution | DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4 |
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| series | Applied Mathematics and Nonlinear Sciences |
| source_id | 49 |
| spelling | Maire, Luis 2444-8656 Walter de Gruyter GmbH Applied Mathematics Engineering (miscellaneous) Modeling and Simulation General Computer Science http://dx.doi.org/10.21042/amns.2017.1.00021 <jats:title>Abstract</jats:title> <jats:p>We extend Theorem 1.1 of [J. Math. Anal. Appl. <jats:bold>435</jats:bold> (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. <jats:bold>7</jats:bold> (1994), 383-398], which allows us to establish the uniqueness without invoking to the blow-up rates of the solutions.</jats:p> Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains Applied Mathematics and Nonlinear Sciences |
| spellingShingle | Maire, Luis, Applied Mathematics and Nonlinear Sciences, Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains, Applied Mathematics, Engineering (miscellaneous), Modeling and Simulation, General Computer Science |
| 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 |
| title_unstemmed | Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains |
| topic | Applied Mathematics, Engineering (miscellaneous), Modeling and Simulation, General Computer Science |
| url | http://dx.doi.org/10.21042/amns.2017.1.00021 |