On the p-biharmonic operator with critical Sobolev exponent

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

Abstrakty

EN

We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.

Kategorie tematyczne

• 35J50: Variational methods for elliptic systems
• 35G30: Boundary value problems for nonlinear higher-order equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 2-3
• Strony: 229-237

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/am41-2-10