Coupled and uncoupled limits for a N-dimensional multidomain Neumann problem
2000 (English)In: Comptes rendus de l'Académie des sciences. Série 1, Mathématique, ISSN 0764-4442, Vol. 330, no 11, 985-990 p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-19984ISI: 000088890600006OAI: oai:DiVA.org:kth-19984DiVA: diva2:338677
QC 201005252010-08-102010-08-10Bibliographically approved