Regularity and Bernstein-type results for nonlocal minimal surfaces
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1831 | |
| dc.contributor.author | Figalli, Alessio | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.accessioned | 2016-03-24T17:37:46Z | |
| dc.date.available | 2019-06-28T08:20:27Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi [5] stating that the validity of Bernsteins theorem in dimension n + 1 is a consequence of the nonexistence of n-dimensional singular minimal cones in IRn. | |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/3096 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3252 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.issn | 0946-8633 | 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.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.subject.ddc | 510 | |
| dc.subject.other | s-minimal surfaces | eng |
| dc.subject.other | regularity theory | eng |
| dc.subject.other | Bernstein’s Theorem | eng |
| dc.subject.other | Minimalfläche | eng |
| dc.title | Regularity and Bernstein-type results for nonlocal minimal surfaces | |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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