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

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Bibliographische Detailangaben
Zeitschriftentitel:	Applied Mathematics and Nonlinear Sciences
Personen und Körperschaften:	Maire, Luis
In:	Applied Mathematics and Nonlinear Sciences, 2, 2017, 1, S. 249-258
Format:	E-Article
Sprache:	Englisch
veröffentlicht:	Walter de Gruyter GmbH
Schlagwörter:	Applied Mathematics Engineering (miscellaneous) Modeling and Simulation General Computer Science

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Zusammenfassung:	<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>
Umfang:	249-258
ISSN:	2444-8656
DOI:	10.21042/amns.2017.1.00021