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Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions

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dc.contributor.authorMedina, Maria
dc.contributor.authorPeral, Ireneo
dc.contributor.authorPrimo, Ana
dc.contributor.authorSoria, Fernando
dc.contributor.authorLeonori, Tommaso
dc.date.accessioned2024-11-20T09:39:34Z
dc.date.available2024-11-20T09:39:34Z
dc.date.issued2018-07-15
dc.description.abstractWe analyze the behavior of the eigenvalues of the following nonlocal mixed problem {(−Δ)su=λ1(D)u in Ω,u=0 in D,Nsu=0 in N. Our goal is to construct different sequences of problems by modifying the configuration of the sets D and N, and to provide sufficient and necessary conditions on the size and the location of these sets in order to obtain sequences of eigenvalues that in the limit recover the eigenvalues of the Dirichlet or Neumann problem. We will see that the nonlocality plays a crucial role here, since the sets D and N can have infinite measure, a phenomenon that does not appear in the local case (see for example [6–8]).en
dc.description.provenanceMade available in DSpace on 2024-11-20T09:39:34Z (GMT). No. of bitstreams: 1 PRINCIPAL EIGENVALUE OF MIXED PROBLEM.LEONIORI_T.pdf: 256497 bytes, checksum: e27f59d04c67f6c42b3bde4c21fdb066 (MD5) Previous issue date: 2018-07-15en
dc.description.versionversión final
dc.identifier.citationTommaso Leonori, Maria Medina, Ireneo Peral, Ana Primo, Fernando Soria, Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions, Journal of Differential Equations, Volume 265, Issue 2, 2018, Pages 593-619, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2018.03.001
dc.identifier.doihttps://doi.org/10.1016/j.jde.2018.03.001
dc.identifier.issn0022-0396
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24442
dc.journal.issue2
dc.journal.titleJournal of Differential Equations
dc.journal.volume265
dc.language.isoen
dc.page.final619
dc.page.initial593
dc.publisherElsevier
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsMixed problemsen
dc.subject.keywordsFractional Laplacianen
dc.subject.keywordsEigenvaluesen
dc.titlePrincipal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditionsen
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication07099038-eae7-41de-9f88-7ce9062e30f1
relation.isAuthorOfPublication.latestForDiscovery07099038-eae7-41de-9f88-7ce9062e30f1
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