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dc.contributor.authorAbdellaoui, Boumediene
dc.contributor.authorOchoa, Pablo
dc.contributor.authorPeral Alonso, Ireneo 
dc.contributor.otherUAM. Departamento de Matemáticases_ES
dc.date.accessioned2022-11-23T12:19:54Z
dc.date.available2022-11-23T12:19:54Z
dc.date.issued2021-07-06
dc.identifier.citationMathematics In Engineering 3.2 (2021): 1–28es_ES
dc.identifier.issn2640-3501 (online)es_ES
dc.identifier.urihttp://hdl.handle.net/10486/705321
dc.description.abstractIn this paper, we study the existence of distributional solutions of the following non-local elliptic problem (equation presented). We are interested in the relation between the regularity of the source term f , and the regularity of the corresponding solution. If 1 < p < 2s, that is the natural growth, we are able to show the existence for all f ∈ L 1 (Ω). In the subcritical case, that is, for 1 < p < p∗ := N/(N − 2s + 1), we show that solutions are C 1,α for f ∈ L m , with m large enough. In the general case, we achieve the same result under a condition on the size of the source. As an application, we may show that for regular sources, distributional solutions are viscosity solutions, and converselyes_ES
dc.format.extent28 pag.es_ES
dc.format.mimetypeapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherAIMS Presses_ES
dc.relation.ispartofMathematics In Engineeringes_ES
dc.rights© 2021 the Author(s), licensee AIMS Presses_ES
dc.subject.otherFractional Diffusiones_ES
dc.subject.otherNonlinear Gradient Termses_ES
dc.subject.otherViscosity Solutionses_ES
dc.titleA note on quasilinear equations with fractional diffusiones_ES
dc.typearticlees_ES
dc.subject.ecienciaMatemáticases_ES
dc.relation.publisherversionhttps://doi.org/10.3934/mine.2021018es_ES
dc.identifier.doi10.3934/mine.2021018es_ES
dc.identifier.publicationfirstpage1es_ES
dc.identifier.publicationissue2es_ES
dc.identifier.publicationlastpage28es_ES
dc.identifier.publicationvolume3es_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dc.rights.ccReconocimientoes_ES
dc.rights.accessRightsopenAccesses_ES
dc.facultadUAMFacultad de Cienciases_ES


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