Graph properties for nonlocal minimal surfaces
| dc.bibliographicCitation.volume | 2131 | |
| dc.contributor.author | Dipierro, Serena | |
| dc.contributor.author | Savin, Ovidiu | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.accessioned | 2016-12-13T10:46:47Z | |
| dc.date.available | 2019-06-28T08:25:21Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact a graph in the whole of the space. As a consequence, in dimension 3, we show that the graph is smooth. The proofs rely on convolution techniques and appropriate integral estimates which show the pointwise validity of an Euler-Lagrange equation related to the nonlocal mean curvature. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2462 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3441 | |
| 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 2131, 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 | Nonlocal minimal surfaces | eng |
| dc.subject | graph properties | eng |
| dc.subject | regularity theory | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Graph properties for nonlocal minimal surfaces | 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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