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

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dc.contributor.authorLeonori, Tommaso
dc.contributor.authorMedina, Maria
dc.contributor.authorPeral, Ireneo
dc.contributor.authorPrimo, Ana
dc.contributor.authorSoria, Fernando
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.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.centerFacultades y escuelas::Facultad 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.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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