A nonlinear boundary problem involving the p -bilaplacian operator

Abdelouahed El Khalil, Siham Kellati and Abdelfattah Touzani

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

We show some new Sobolev's trace embedding that we apply to prove that the fourth-order nonlinear boundary conditions Δ p 2 u + | u | p − 2 u = 0 in Ω and − ( ∂ / ∂ n ) ( | Δ u | p − 2 Δ u ) = λ Ï | u | p − 2 u on ∂ Ω possess at least one nondecreasing sequence of positive eigenvalues.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:969812

DOI: 10.1155/IJMMS.2005.1525

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