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Coupled and uncoupled limits for a N-dimensional multidomain Neumann problem
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-3125-3030
2000 (English)In: Comptes rendus de l'Académie des sciences. Série 1, Mathématique, ISSN 0764-4442, E-ISSN 1778-3577, Vol. 330, no 11, 985-990 p.Article in journal (Refereed) Published
Abstract [en]

We consider the quasilinear Neumann problem with exponent p, in a multi-domain of R-N made of the union of a cylinder with given height and small cross section and a cylinder with small height and given cross section. Assuming that the volumes of the two cylinders tend to zero with same order, we prove that the limit problem is posed in the union of the limit domains, with respective dimensions 1 and (N - 1). Moreover this limit problem is coupled if p > N - 1 and uncoupled otherwise.

Place, publisher, year, edition, pages
2000. Vol. 330, no 11, 985-990 p.
Keyword [en]
model, elasticity
Identifiers
URN: urn:nbn:se:kth:diva-19984ISI: 000088890600006OAI: oai:DiVA.org:kth-19984DiVA: diva2:338677
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Gustafsson, Björn

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