On the spectrum of the p-biharmonic operator involving p-Hardy's inequality

• Autorzy: Abdelouahed El Khalil , My Driss Morchid Alaoui , Abdelfattah Touzani
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the spectrum for the following eigenvalue problem with the p-biharmonic operator involving the Hardy term:
$Δ(|Δu|^{p-2} Δu) = λ(|u|^{p-2}u)/(δ(x)^{2p})$ in Ω, $u ∈ W₀^{2,p}(Ω)$.
By using the variational technique and the Hardy-Rellich inequality, we prove that the above problem has at least one increasing sequence of positive eigenvalues.

Kategorie tematyczne

• 35J40: Boundary value problems for higher-order elliptic equations
• 35J35: Variational methods for higher-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 239-246

Daty

wydano

2014

Twórcy

autor

Abdelouahed El Khalil

• Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud, Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia

autor

My Driss Morchid Alaoui

• Faculty of Sciences Dhar-Mahraz, Department of Mathematics, University Sidi Mohamed Ben Abdellah, P.O. Box 1796 Atlas, Fez 30000, Morocco

autor

Abdelfattah Touzani

• Faculty of Sciences Dhar-Mahraz, Department of Mathematics, University Sidi Mohamed Ben Abdellah, P.O. Box 1796 Atlas, Fez 30000, Morocco

Identyfikatory

DOI

10.4064/am41-2-11