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

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dc.contributor.authorMaire, Luis
dc.date.accessioned2024-07-11T10:01:44Z
dc.date.available2024-07-11T10:01:44Z
dc.date.issued2017-01-01
dc.description.abstractWe 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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.citationMaire, L. Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains. Applied Mathematics and Nonlinear Sciences. 2017; 2(1):249-258
dc.identifier.doi10.21042/amns.2017.1.00021
dc.identifier.issn2444-8656
dc.identifier.urihttps://hdl.handle.net/20.500.14352/105951
dc.issue.number1
dc.journal.titleApplied Mathematics and Nonlinear Sciences
dc.language.isoeng
dc.page.final258
dc.page.initial249
dc.publisherSciendo
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.keywordLarge positive solution
dc.subject.keywordCooperative system
dc.subject.keywordUniqueness
dc.subject.keywordKeller-Osserman
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1206.02 Ecuaciones Diferenciales
dc.titleLarge solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number2
dspace.entity.typePublication

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