Minimization of a fractional perimeter-Dirichlet integral functional
| dc.bibliographicCitation.volume | 1818 | |
| dc.contributor.author | Caffarelli, Luis | |
| dc.contributor.author | Savin, Ovidiu | |
| dc.contributor.author | Valdinoci, Enrico | |
| dc.date.accessioned | 2016-03-24T17:37:44Z | |
| dc.date.available | 2019-06-28T08:18:52Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of a level set. We obtain regularity results for the minimizers and for their free boundaries using blow-up analysis, density estimates, monotonicity formulas, Euler-Lagrange equations and extension problems. | eng |
| dc.description.version | submittedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.uri | https://doi.org/10.34657/2669 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3189 | |
| 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 1818, 0946 – 8633 | 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 | Regularity results | eng |
| dc.subject | free boundary problems | eng |
| dc.subject | monotonicity formulas | eng |
| dc.subject | Potenzialtheorie | eng |
| dc.subject | Dirichletsches Integral | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Minimization of a fractional perimeter-Dirichlet integral functional | 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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