A nonlocal free boundary problem

dc.bibliographicCitation.volume2042
dc.contributor.authorDipierro, Serena
dc.contributor.authorSavin, Ovidiu
dc.contributor.authorValdinoci, Enrico
dc.date.accessioned2016-03-24T17:37:04Z
dc.date.available2019-06-28T08:13:28Z
dc.date.issued2014
dc.description.abstractWe consider a nonlocal free boundary problem built by a fractional Dirichlet norm plus a fractional perimeter. Among other results, we prove a monotonicity formula for the minimizers, glueing lemmata, uniform energy bounds, convergence results, a regularity theory for the planar cones and a trivialization result for the flat case. Several classical free boundary problems are limit cases of the one that we consider in this paper.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/1840
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2929
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2042, ISSN 2198-5855eng
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.subjectFractional perimetereng
dc.subjectminimization problemeng
dc.subjectmonotonicity formulaeng
dc.subjectclassification of coneseng
dc.subject.ddc510eng
dc.titleA nonlocal free boundary problemeng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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