Rigidity of critical points for a nonlocal Ohta-Kawasaki energy
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2252 | |
dc.contributor.author | Dipierro, Serena | |
dc.contributor.author | Novaga, Matteo | |
dc.contributor.author | Valdinoci, Enrico | |
dc.date.accessioned | 2016-12-13T10:47:01Z | |
dc.date.available | 2019-06-28T08:02:01Z | |
dc.date.issued | 2016 | |
dc.description.abstract | We investigate the shape of critical points for a free energy consisting of a nonlocal perimeter plus a nonlocal repulsive term. In particular, we prove that a volume-constrained critical point is necessarily a ball if its volume is sufficiently small with respect to its isodiametric ratio, thus extending a result previously known only for global minimizers. We also show that, at least in one-dimension, there exist critical points with arbitrarily small volume and large isodiametric ratio. This example shows that a constraint on the diameter is, in general, necessary to establish the radial symmetry of the critical points. | |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/3107 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1676 | |
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 | Otha–Kawasaki functional | eng |
dc.subject.other | long-range interactions | eng |
dc.subject.other | symmetry results | eng |
dc.subject.other | critical point | eng |
dc.title | Rigidity of critical points for a nonlocal Ohta-Kawasaki energy | |
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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