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Linked eigenvalue problems for the p-Laplacian
Published online by Cambridge University Press: 14 November 2011
Extract
Linked equations of the form
are studied on a bounded smooth domain in RN for λ ∈ R2. Existence and uniqueness of solutions are discussed for fi homogeneous of order p – 1 in ui, generalising the ‘Klein Oscillation Theorem’ when p = 2, N = 1. Bifurcation from the principal eigenvalue is also considered for nonhomogeneous perturbations fi of order greater than p – 1.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 1023 - 1036
- Copyright
- Copyright © Royal Society of Edinburgh 1994
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