Minimization of a fractional perimeter-Dirichlet integral functional

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1818
dc.contributor.authorCaffarelli, Luis
dc.contributor.authorSavin, Ovidiu
dc.contributor.authorValdinoci, Enrico
dc.date.accessioned2016-03-24T17:37:44Z
dc.date.available2019-06-28T08:18:52Z
dc.date.issued2013
dc.description.abstractWe consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of a level set. We obtain regularity results for the minimizers and for their free boundaries using blow-up analysis, density estimates, monotonicity formulas, Euler-Lagrange equations and extension problems.eng
dc.description.versionsubmittedVersioneng
dc.formatapplication/pdf
dc.identifier.urihttps://doi.org/10.34657/2669
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3189
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherRegularity resultseng
dc.subject.otherfree boundary problemseng
dc.subject.othermonotonicity formulaseng
dc.subject.otherPotenzialtheorieeng
dc.subject.otherDirichletsches Integraleng
dc.titleMinimization of a fractional perimeter-Dirichlet integral functionaleng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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