On fractional elliptic equations in Lipschitz sets and epigraphs: Regularity, monotonicity and rigidity results

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2256
dc.contributor.authorDipierro, Serena
dc.contributor.authorSoave, Nicola
dc.contributor.authorValdinoci, Enrico
dc.date.accessioned2016-12-13T10:47:00Z
dc.date.available2019-06-28T08:02:00Z
dc.date.issued2016
dc.description.abstractWe consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results can be seen as the nonlocal counterpart of the celebrated article [4].eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/2834
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1673
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.otherNonlocal semilinear equationseng
dc.subject.othersliding methodseng
dc.subject.othermonotonicityeng
dc.subject.otherregularityeng
dc.subject.othersymmetryeng
dc.titleOn fractional elliptic equations in Lipschitz sets and epigraphs: Regularity, monotonicity and rigidity resultseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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