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dc.contributor.authorSerra Montolí, Joaquim
dc.date.accessioned2016-03-01T13:36:20Z
dc.date.available2016-08-25T00:30:29Z
dc.date.issued2015-12-01
dc.identifier.citationSerra, J. C sigma+alfa regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels. "Calculus of variations and partial differential equations", 01 Desembre 2015, vol. 54, p. 3571.
dc.identifier.issn0944-2669
dc.identifier.urihttp://hdl.handle.net/2117/83630
dc.description.abstractWe establish Cs+a interior estimates for concave nonlocal fully nonlinear equations of order s¿(0,2) with rough kernels. Namely, we prove that if u¿Ca(Rn) solves in B1 a concave translation invariant equation with kernels in L0(s), then u belongs to (Formula Presented), with an estimate. More generally, our results allow the equation to depend on x in a Ca fashion. Our method of proof combines a Liouville theorem and a blow-up (compactness) procedure. Due to its flexibility, the same method can be useful in different regularity proofs for nonlocal equations.
dc.format.extent1 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations, Partial
dc.subject.other35J60
dc.subject.other45K05
dc.titleC sigma+alfa regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels
dc.typeArticle
dc.subject.lemacEquacions diferencials parcials
dc.contributor.groupUniversitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
dc.identifier.doi10.1007/s00526-015-0914-2
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs00526-015-0914-2
dc.rights.accessOpen Access
drac.iddocument17429173
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorSerra, J.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameCalculus of variations and partial differential equations
upcommons.citation.volume54
upcommons.citation.startingPage3571
upcommons.citation.endingPage3571


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