Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/44401
DC FieldValueLanguage
dc.contributor.authorAraújo, Damião J.-
dc.contributor.authorTeixeira, Eduardo V.-
dc.contributor.authorUrbano, José Miguel-
dc.date.accessioned2017-11-14T17:58:41Z-
dc.date.issued2017-
dc.identifier.urihttps://hdl.handle.net/10316/44401-
dc.description.abstractWe establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellipticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate p-Poisson equation with a bounded source are locally of class C^p'=C^(1,1/(p-1)) ; this regularity is optimal.por
dc.language.isoengpor
dc.publisherElsevierpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147205/PTpor
dc.rightsembargoedAccess-
dc.titleA proof of the C^p'-regularity conjecture in the plane p ′ -regularity conjecture in the planepor
dc.typearticle-
degois.publication.firstPage541por
degois.publication.lastPage553por
degois.publication.titleAdvances in Mathematicspor
dc.relation.publisherversionhttps://doi.org/10.1016/j.aim.2017.06.027por
dc.peerreviewedyespor
dc.identifier.doi10.1016/j.aim.2017.06.027por
dc.identifier.doi10.1016/j.aim.2017.06.027-
degois.publication.volume316por
dc.date.embargo2019-11-14T17:58:41Z-
uc.controloAutoridadeSim-
item.fulltextCom Texto completo-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1en-
item.openairetypearticle-
item.cerifentitytypePublications-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0002-5715-2588-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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