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dc.contributor.authorChhetri, Maya
dc.contributor.authorDrábek, Pavel
dc.contributor.authorShivaji, Ratnasingham
dc.date.accessioned2019-10-21T10:00:15Z-
dc.date.available2019-10-21T10:00:15Z-
dc.date.issued2019
dc.identifier.citationCHHETRI, M., DRÁBEK, P., SHIVAJI, R. S-shaped bifurcation diagrams in exterior domains. Positivity, 2019, roč. 23, č. 5, s. 1147-1164. ISSN 1385-1292.en
dc.identifier.issn1385-1292
dc.identifier.uri2-s2.0-85061924458
dc.identifier.urihttp://hdl.handle.net/11025/35554
dc.format18 s.
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesPositivityen
dc.rightsPlný text není přístupný.cs
dc.rights© Springeren
dc.titleS-shaped bifurcation diagrams in exterior domainsen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedWe study a nonlinear eigenvalue problem on the exterior to a simply connected bounded domain inRN containing the origin.We consider positive weak solutions satisfying Dirichlet boundary conditions on the compact boundary and decaying to zero at infinity. We discuss multiplicity and uniqueness results of solutions with respect to a bifurcation parameter and conjecture an S-shaped bifurcation diagram for positive reaction terms which are singular at the origin and sublinear at infinity. As a by-product, on regions exterior to a ball with radially symmetric weight functions, we obtain radial symmetry of solutions when uniqueness holds.en
dc.subject.translatedExterior domainen
dc.subject.translatedSingular problemen
dc.subject.translatedPositive weak solutionen
dc.subject.translatedDecayen
dc.subject.translatedS-shaped bifurcation diagramen
dc.identifier.doi10.1007/s11117-019-00654-8
dc.type.statusPeer-revieweden
dc.identifier.document-number487634200006
dc.identifier.obd43925268
dc.project.IDGA18-03253S/Diferenciální rovnice se speciálními typy nelinearitcs
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