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A homogeneity condition guaranteeing bifurcation in multiparameter nonlinear eigenvalue problems

✍ Scribed by Robert Stephen Cantrell

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 687 KB
Volume: 8
Category: Article
ISSN: 0362-546X
DOI: 10.1016/0362-546x(84)90067-1

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## Abstract We consider a boundary‐value problem for the Poisson equation in a thick junction Ω~ε~, which is the union of a domain Ω~0~ and a large number of ε‐periodically situated thin curvilinear cylinders. The following nonlinear Robin boundary condition ∂~ν~__u__~ε~ + εκ(__u__~ε~)=0 is given o