Continuity and density results for a one-phase nonlocal free boundary problem
| dc.bibliographicCitation.volume | 2101 | |
| dc.contributor.author | Dipierro, Serena | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.available | 2019-06-28T08:22:29Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional Dirichlet energy plus a nonlocal perimeter functional. We prove that the minimizers are Hölder continuous and the free boundary has positive density from both sides. For this, we also introduce a new notion of fractional harmonic replacement in the extended variables and we study its basic properties. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2178 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3328 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2101, ISSN 2198-5855 | eng |
| dc.rights.license | This 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.license | Dieses 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 | Free boundary problems | eng |
| dc.subject | nonlocal minimalsurfaces | eng |
| dc.subject | fractional operators | eng |
| dc.subject | regularity theory | eng |
| dc.subject | fractional harmonic replacement | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Continuity and density results for a one-phase nonlocal free boundary problem | eng |
| dc.type | report | eng |
| dc.type | Text | eng |
| dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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