Stationary solutions to a nonlocal fourth-order elliptic obstacle problem

Laurençot, Philippe; Walker, Christoph

dc.identifier.uri	http://dx.doi.org/10.15488/15023
dc.identifier.uri	https://www.repo.uni-hannover.de/handle/123456789/15142
dc.contributor.author	Laurençot, Philippe
dc.contributor.author	Walker, Christoph
dc.date.accessioned	2023-10-18T08:37:09Z
dc.date.available	2023-10-18T08:37:09Z
dc.date.issued	2020
dc.identifier.citation	Laurençot, P.; Walker, C.: Stationary solutions to a nonlocal fourth-order elliptic obstacle problem. In: Journal of Elliptic and Parabolic Equations 6 (2020), Nr. 1, S. 171-186. DOI: https://doi.org/10.1007/s41808-020-00059-9
dc.description.abstract	Existence of stationary solutions to a nonlocal fourth-order elliptic obstacle problem arising from the modelling of microelectromechanical systems with heterogeneous dielectric properties is shown. The underlying variational structure of the model is exploited to construct these solutions as minimizers of a suitably regularized energy, which allows us to weaken considerably the assumptions on the model used in a previous article.	eng
dc.language.iso	eng
dc.publisher	Cham : Springer International Publishing AG
dc.relation.ispartofseries	Journal of Elliptic and Parabolic Equations 6 (2020), Nr. 1
dc.rights	CC BY 4.0 Unported
dc.rights.uri	https://creativecommons.org/licenses/by/4.0
dc.subject	Bilaplacian	eng
dc.subject	MEMS	eng
dc.subject	Minimizer	eng
dc.subject	Stationary solution	eng
dc.subject	Variational inequality	eng
dc.subject.ddc	510 \| Mathematik
dc.title	Stationary solutions to a nonlocal fourth-order elliptic obstacle problem	eng
dc.type	Article
dc.type	Text
dc.relation.essn	2296-9039
dc.relation.issn	2296-9020
dc.relation.doi	https://doi.org/10.1007/s41808-020-00059-9
dc.bibliographicCitation.issue	1
dc.bibliographicCitation.volume	6
dc.bibliographicCitation.firstPage	171
dc.bibliographicCitation.lastPage	186
dc.description.version	publishedVersion	eng
tib.accessRights	frei zug�nglich