An optimization problem for the first eigenvalue of the p-fractional Laplacian

dc.creatordel Pezzo, Leandro Martin
dc.creatorFernandez Bonder, Julian
dc.creatorLópez Ríos, Luis
dc.date.accessioned2020-01-14T19:30:35Z
dc.date.accessioned2022-10-15T05:16:11Z
dc.date.available2020-01-14T19:30:35Z
dc.date.available2022-10-15T05:16:11Z
dc.date.created2020-01-14T19:30:35Z
dc.date.issued2018-03
dc.identifierdel Pezzo, Leandro Martin; Fernandez Bonder, Julian; López Ríos, Luis; An optimization problem for the first eigenvalue of the p-fractional Laplacian; Wiley VCH Verlag; Mathematische Nachrichten; 291; 4; 3-2018; 632-651
dc.identifier0025-584X
dc.identifierhttp://hdl.handle.net/11336/94664
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4348731
dc.description.abstractIn this paper we analyze an eigenvalue problem related to the nonlocal p‐Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes.
dc.languageeng
dc.publisherWiley VCH Verlag
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201600110
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201600110
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectFRACTIONAL LAPLACIAN
dc.subjectNONLINEAR EIGENVALUES
dc.subjectOPTIMIZATION
dc.titleAn optimization problem for the first eigenvalue of the p-fractional Laplacian
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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