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The existence of minimal large positive solutions for a class of nonlinear cooperative systems

dc.contributor.authorLópez Gómez, Julián
dc.contributor.authorMaire, Luis
dc.date.accessioned2024-07-11T09:47:33Z
dc.date.available2024-07-11T09:47:33Z
dc.date.issued2022-12
dc.description.abstractn this paper we establish the existence of the minimal large positive solution for a general class of nonlinear cooperative systems including the simplest prototype of García-Melián et al. (2016). Precisely, based on the existence of a large positive supersolution, we can infer the existence of the minimal large positive solution. Moreover, we also give some sufficient easily computable conditions for the existence of a large positive supersolution. Our results generalize, very substantially, some of the findings of García-Melián et al. (2016) adopting a rather novel methodology.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.citationLopez-Gomez, J., & Maire, L. The existence of minimal large positive solutions for a class of nonlinear cooperative systems. Nonlinear Analysis: Real World Applications. 2022; 68: 103693
dc.identifier.doi10.1016/j.nonrwa.2022.103693
dc.identifier.issn1468-1218
dc.identifier.urihttps://hdl.handle.net/20.500.14352/105949
dc.journal.titleNonlinear Analysis: Real World Applications
dc.language.isoeng
dc.page.final103693-23
dc.page.initial103693-1
dc.publisherElsevier
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.keywordNonlinear cooperative systems
dc.subject.keywordLarge solution
dc.subject.keywordLarge supersolution
dc.subject.keywordMinimal large solution
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1206.02 Ecuaciones Diferenciales
dc.titleThe existence of minimal large positive solutions for a class of nonlinear cooperative systems
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number68
dspace.entity.typePublication
relation.isAuthorOfPublication27effbc8-f76e-4c18-8514-82cf8fe8ccbf
relation.isAuthorOfPublication.latestForDiscovery27effbc8-f76e-4c18-8514-82cf8fe8ccbf

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