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

• Autores: Luis Maire
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 1, 2017, págs. 249-258
• Idioma: inglés
• DOI: 10.21042/amns.2017.1.00021
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• Resumen

  • 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.