The third order spectrum of the p-biharmonic operator with weight

Khalil Ben Haddouch; Najib Tsouli; Zakaria El Allali

Khalil Ben Haddouch ; Najib Tsouli ; Zakaria El Allali

Applicationes Mathematicae, Tome 41 (2014), p. 247-255 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that the spectrum of $Δ ²_{p} u + {2 β \cdot \nabla (| Δ u |}^{p - 2} {Δ u) + | β | ² | Δ u |}^{p - 2} Δ u = α m {| u |}^{p - 2} u$ , where $β \in ℝ^{N}$ , under Navier boundary conditions, contains at least one sequence of eigensurfaces.

Publié le : 2014-01-01

Zbl 1304.35463

EUDML-ID : urn:eudml:doc:280051

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     author = {Khalil Ben Haddouch and Najib Tsouli and Zakaria El Allali},
     title = {The third order spectrum of the p-biharmonic operator with weight},
     journal = {Applicationes Mathematicae},
     volume = {41},
     year = {2014},
     pages = {247-255},
     zbl = {1304.35463},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-12}
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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) pp. 247-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-12/