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.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.Haller-Dintelmann, RobertHöppner, WolfgangKaiser, Hans-ChristophRehberg, JoachimZiegler, Günter M.2016-03-242019-06-2820100946-8633https://doi.org/10.34657/2953https://oa.tib.eu/renate/handle/123456789/2305We study relative stability properties of different clusters of closely packed one- and two-dimensional localized peaks of the Swift-Hohenberg equation. We demonstrate the existence of a 'spatial Maxwell' point where clusters are almost equally stable, irrespective of the number of pes involved. Above (below) the Maxwell point, clusters become more (less) stable with the increase of the number of peaksapplication/pdfeng510Elliptic div-grad operatorsanisotropic ellipticity in three dimensionstransmission at material interfacesmixed Dirichlet-Neumann boundary conditionsoptimal Sobolev regularityOptimal elliptic Sobolev regularity near three-dimensional, multi-material Neumann verticesReport