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Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains

Luis Maire

Luis Maire

Departamento de Matemática Aplicada, Universidad Complutense de MadridMadrid, Spain
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Maire, Luis
  
Jun 26, 2017
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Published Online: Jun 26, 2017
Page range: 249 - 258
Received: Mar 22, 2017
Accepted: Jun 26, 2017
DOI: https://doi.org/10.21042/AMNS.2017.1.00021
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© 2017 Luis Maire, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

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English
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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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