Publicación:
Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators

Vista sencilla de ítem
dc.contributor.authorOrtega García, Alejandro
dc.date.accessioned2025-03-31T11:42:42Z
dc.date.available2025-03-31T11:42:42Z
dc.date.issued2025-06-01
dc.descriptionEsta es la versión aceptada para su publicación en Journal of Nonlinear and Variational Analysis 9 (2025), 373-395. La versión final publicada está disponible en la web del editor: Biemdas Academic Publishers: https://doi.org/10.23952/jnva.9.2025.3.04. This is the accepted version for publication in Journal of Nonlinear and Variational Analysis 9 (2025), 373–395. The final published version is available on the publisher's website: Biemdas Academic Publishers: https://doi.org/10.23952/jnva.9.2025.3.04.
dc.description.abstractIn this paper, we analyze the behavior of the truncated functionals as (Formula presented) for δ → 0+, where G is an Orlicz function which is assumed to be regularly varying at 0. A prototype of such function is given by G(t) = tp(1+ |log(t)|) with p ≥ 2. These kinds of functionals arise naturally in peridynamics, where long-range interactions are neglected and only those that exerted at distance smaller than δ > 0 are taken into account, i.e., the horizon δ > 0 represents the range of interactions or nonlocality. This paper is inspired by the celebrated result by Bourgain, Brezis and Mironescu, who analyzed the limit s → 1− with G(t) = tp. In particular, we prove that, under appropriate conditions, (Formula presented) for p = index(G) and an explicit constant KN,p > 0. Moreover, the converse is also true if the above localization limit exist as δ → 0+, and the Orlicz function G is a regularly varying function with index(G) = p.en
dc.description.versionversión final
dc.identifier.citationAlejandro Ortega. “Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators”, J. Nonlinear Var. Anal. 9 (2025), 373-395. https://doi.org/10.23952/jnva.9.2025.3.04
dc.identifier.doihttps://doi.org/10.23952/jnva.9.2025.3.04
dc.identifier.issn2560-6921; e-ISSN: 2560-6778
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26402
dc.journal.issue3
dc.journal.titleJournal of Nonlinear and Variational Analysis
dc.journal.volume9
dc.language.isoen
dc.page.final395
dc.page.initial373
dc.publisherBiemdas Academic Publishers
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.titlePervasiveness of the p-Laplace operator under localization of fractional g-Laplace operatorsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationb770dda9-79ba-4d99-9e06-bd9a2e68805e
relation.isAuthorOfPublication.latestForDiscoveryb770dda9-79ba-4d99-9e06-bd9a2e68805e
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
Ortega_Alejandro_Pervasiveness of the p-Lapla.pdf
Tamaño:
423.89 KB
Formato:
Adobe Portable Document Format
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
3.62 KB
Formato:
Item-specific license agreed to upon submission
Descripción:
Descargar
Colecciones
Artículos y papers