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dc.contributor.authorEscauriaza, L.
dc.contributor.authorMontaner, S.
dc.date.accessioned2017-06-06T18:05:18Z
dc.date.available2017-06-06T18:05:18Z
dc.date.issued2017-05-30
dc.identifier.issn1120-6330
dc.identifier.urihttp://hdl.handle.net/20.500.11824/679
dc.description.abstractIn this note we prove an end-point regularity result on the $L^P$ integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second derivatives are a priori only known to be integrable. The main assumption on the elliptic operator is the Dini continuity of the coefficients. We provide a counterexample showing that the Dini condition is somehow optimal. We also give a counterexample related to the BMO regularity of second derivatives of solutions to elliptic equations. These results are analogous to corresponding results for divergence form elliptic equations in [3, 15].en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectRegularityen_US
dc.subjectpathological solutionsen_US
dc.subjectnon-divergence form elliptic operatoren_US
dc.titleSome remarks on the $L^p$ regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini conditionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.4171/RLM/751
dc.relation.publisherversionhttp://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=28&iss=1&rank=4en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2014-53145-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleRendiconti Lincei - Matematica e Applicazionien_US


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Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España