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Application of Uniform Distribution to Homogenization of a Thin Obstacle Problem with p-Laplacian
Edinburgh University.
KTH, Matematik (Avd.).
2014 (English)In: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 39, no 10, 1870-1897 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study the homogenization of p-Laplacian with thin obstacle in a perforated domain. The obstacle is defined on the intersection between a hyperplane and a periodic perforation. We construct the family of correctors for this problem and show that the solutions for the epsilon-problem converge to a solution of a minimization problem of similar form but with an extra term involving the mean capacity of the obstacle. The novelty of our approach is based on the employment of quasi-uniform convergence. As an application we obtain Poincare's inequality for perforated domains.

Place, publisher, year, edition, pages
2014. Vol. 39, no 10, 1870-1897 p.
Keyword [en]
Capacity, Free boundary, Homogenization, p-Laplacian, Perforated domains, Quasiuniform convergence, Thin obstacle, Uniform distributions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-268041DOI: 10.1080/03605302.2014.895013ISI: 000341003700004Scopus ID: 2-s2.0-84906490732OAI: oai:DiVA.org:uu-268041DiVA: diva2:875695
Available from: 2015-12-01 Created: 2015-12-01 Last updated: 2017-12-01Bibliographically approved

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Strömqvist, Martin

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