Remarks on the spectrum of a non-local Dirichlet problem

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dc.contributor.authorBenguria, Rafael D.
dc.contributor.authorPereira, Marcone C.
dc.date.accessioned2025-01-20T22:05:32Z
dc.date.available2025-01-20T22:05:32Z
dc.date.issued2021
dc.description.abstractIn this paper, we analyse the spectrum of non-local Dirichlet problems with non-singular kernels in bounded open sets. The novelty is twofold. First we study the continuity of eigenvalues with respect to domain perturbation via Lebesgue measure. Next, under additional smooth conditions on the kernel and domain, we prove differentiability of simple eigenvalues computing their first derivative discussing extremum problems for eigenvalues.
dc.fuente.origenWOS
dc.identifier.doi10.1112/blms.12552
dc.identifier.eissn1469-2120
dc.identifier.issn0024-6093
dc.identifier.urihttps://doi.org/10.1112/blms.12552
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94151
dc.identifier.wosidWOS:000714104500001
dc.issue.numero6
dc.language.isoen
dc.pagina.final1915
dc.pagina.inicio1898
dc.revistaBulletin of the london mathematical society
dc.rightsacceso restringido
dc.subject45C05 (primary)
dc.subject45A05 (secondary)
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleRemarks on the spectrum of a non-local Dirichlet problem
dc.typeartículo
dc.volumen53
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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