On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2758 | |
dc.contributor.author | Alphonse, Amal | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Rautenberg, Carlos N. | |
dc.date.accessioned | 2022-06-30T13:14:19Z | |
dc.date.available | 2022-06-30T13:14:19Z | |
dc.date.issued | 2020 | |
dc.description.abstract | In this short note, we prove that the minimal and maximal solution maps associated to elliptic quasi-variational inequalities of obstacle type are directionally differentiable with respect to the forcing term and for directions that are signed. On the way, we show that the minimal and maximal solutions can be seen as monotone limits of solutions of certain variational inequalities and that the aforementioned directional derivatives can also be characterised as the monotone limits of sequences of directional derivatives associated to variational inequalities. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9408 | |
dc.identifier.uri | https://doi.org/10.34657/8446 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2758 | |
dc.relation.hasversion | https://doi.org/10.1016/j.jmaa.2021.125732 | |
dc.relation.issn | 2198-5855 | |
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.ddc | 510 | |
dc.subject.other | Quasi-variational inequality | eng |
dc.subject.other | obstacle problem | eng |
dc.subject.other | directional differentiability | eng |
dc.subject.other | minimal and maximal solutions | eng |
dc.subject.other | ordered solutions | eng |
dc.title | On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 13 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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