Geodesic
The third order spectrum of the $p$-biharmonic operator with weight
Khalil Ben Haddouch1 ; Najib Tsouli1 ; Zakaria El Allali2
1 Department of Mathematics University Mohamed I Oujda, Morocco
2 Department of Mathematics University Mohamed I Oujda, Multidisciplinary Faculty of Nador, Morocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 247-255.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the spectrum of $\varDelta ^{2}_{p} u + 2\beta \cdot \nabla (|\varDelta u|^{p-2}\varDelta u) + |\beta |^{2}|\varDelta u|^{p-2}\varDelta u=\alpha m|u|^{p-2}u$, where $\beta \in \mathbb {R}^{N}$, under Navier boundary conditions, contains at least one sequence of eigensurfaces.
DOI : 10.4064/am41-2-12
Keywords: spectrum vardelta beta cdot nabla vardelta p vardelta beta vardelta p vardelta alpha p where beta mathbb under navier boundary conditions contains least sequence eigensurfaces

Khalil Ben Haddouch 1 ; Najib Tsouli 1 ; Zakaria El Allali 2

1 Department of Mathematics University Mohamed I Oujda, Morocco
2 Department of Mathematics University Mohamed I Oujda, Multidisciplinary Faculty of Nador, Morocco 
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Khalil Ben Haddouch; Najib Tsouli; Zakaria El Allali. The third order spectrum of the $p$-biharmonic operator with weight. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 247-255. doi : 10.4064/am41-2-12. http://geodesic.mathdoc.fr/articles/10.4064/am41-2-12/

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