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Asymptotically Linear Problems and Antimaximum Principle for the Square Root of the Laplacian

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dc.contributor.authorArcoya, David
dc.contributor.authorColorado, Eduardo
dc.contributor.authorLeonori, Tommaso
dc.contributor.orcidhttps://orcid.org/0000-0002-7284-2413
dc.contributor.orcidhttps://orcid.org/0000-0002-1067-5752
dc.contributor.orcidhttps://orcid.org/0000-0002-0848-4463
dc.date.accessioned2024-11-21T09:13:43Z
dc.date.available2024-11-21T09:13:43Z
dc.date.issued2016-03-10
dc.descriptionDedicato ad Antonio Ambrosetti in occasione del suo pensionamento dalla SISSAit
dc.description.abstractThis work deals with bifurcation of positive solutions for some asymptotically linear problems, involving the square root of the Laplacian (-Delta)(1/2). A simplified model problem is the following: {(-Delta)(1/2)u = lambda m(x)u + g(u) in Omega, u = 0 on partial derivative Omega, with Omega subset of R-N a smooth bounded domain, N >= 2, lambda > 0, m is an element of L-infinity(Omega), m(+) not equivalent to 0 and g is a continuous function which is super-linear at 0 and sub-linear at infinity. As a consequence of our bifurcation theory approach we prove some existence and multiplicity results. Finally, we also show an anti-maximum principle in the corresponding functional setting.en
dc.description.versionversión publicada
dc.identifier.citationArcoya, David, Colorado, Eduardo and Leonori, Tommaso. "Asymptotically Linear Problems and Antimaximum Principle for the Square Root of the Laplacian" Advanced Nonlinear Studies, vol. 12, no. 4, 2012, pp. 683-701. https://doi.org/10.1515/ans-2012-0402
dc.identifier.doihttps://doi.org/10.1515/ans-2012-0402
dc.identifier.issn2169-0375
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24463
dc.journal.issue4
dc.journal.titleAdvanced Nonlinear Studies
dc.journal.volume12
dc.language.isoen
dc.page.final701
dc.page.initial683
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsfractional laplacianen
dc.subject.keywordsnonlinear problemen
dc.subject.keywordsbifurcationen
dc.subject.keywordsantimaximum principleen
dc.titleAsymptotically Linear Problems and Antimaximum Principle for the Square Root of the Laplacianes
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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