Nonexistence of positive entire solutions to systems of semilinear elliptic inequalities

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dc.contributor.authorDevine, Daniel
dc.contributor.funderTaighde Éireann - Research Ireland
dc.date.accessioned2026-09-17T11:35:01Z
dc.date.available2026-09-17T11:35:01Z
dc.date.issued2026-08-04
dc.description.abstractConsider the system (Formula presented.) where n≥2, f,g∈C[0,∞) and p,q∈C(Rn). If f, g are non-decreasing and convex, using a comparison argument we prove a sufficient Keller-Osserman type condition for the nonexistence of entire solutions. This result is sharp for a wide class of systems. Similar results are also shown to hold for systems without gradient terms.en
dc.description.sponsorshipResearch Ireland|21/FFP-A/9150
dc.description.versionPublished Version
dc.format.extent14
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid114
dc.identifier.authororcidDevine, Daniel
dc.identifier.citationDevine, D 2026, 'Nonexistence of positive entire solutions to systems of semilinear elliptic inequalities', Nonlinear Differential Equations and Applications, vol. 33, no. 5, 114, pp. 1-14. https://doi.org/10.1007/s00030-026-01258-4
dc.identifier.doi10.1007/s00030-026-01258-4
dc.identifier.endpage14
dc.identifier.issn1021-9722
dc.identifier.issued5
dc.identifier.journaltitleNonlinear Differential Equations and Applications
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/10468/19276
dc.identifier.volume33
dc.language.isoen
dc.publisherSpringer International Publishing
dc.relation.urihttps://www.scopus.com/pages/publications/105046479108
dc.rights© 2026, the Author.
dc.rights.accessrightsopen access
dc.rights.licensenameAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.statusPeer reviewed
dc.subjectElliptic systems
dc.subjectCoercive systems
dc.subjectNonlinear gradient terms
dc.subject[Maths]
dc.titleNonexistence of positive entire solutions to systems of semilinear elliptic inequalitiesen
dc.typeArticle (peer-reviewed)
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