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Bounds and numerical results for the homogenized degenerated p-Poisson equation
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2004 (English)In: Applications of Mathematics, ISSN 0862-7940, E-ISSN 1572-9109, Vol. 49, no 2, 111-122 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated p-Poisson equations. Moreover, we give some non-trivial examples where the bounds are tight and thus can be used as good approximations of the homogenized properties. We even present some cases where the bounds coincide and also compare them with some numerical results.

Place, publisher, year, edition, pages
2004. Vol. 49, no 2, 111-122 p.
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Mathematical Analysis
Research subject
Mathematics
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URN: urn:nbn:se:ltu:diva-3861DOI: 10.1023/B:APOM.0000027219.35966.10Local ID: 1b54dd20-9e8f-11db-8975-000ea68e967bOAI: oai:DiVA.org:ltu-3861DiVA: diva2:976723
Note
Validerad; 2004; 20070107 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Byström, JohanEngström, JonasWall, Peter

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