Geodesic
On the $p$-biharmonic operator with critical Sobolev exponent
Abdelouahed El Khalil1 ; My Driss Morchid Alaoui2 ; Abdelfattah Touzani2
1 Department of Mathematics and Statistics College of Science Al-Imam Mohammad Ibn Saud Islamic University (IMSIU) P.O. Box 90950 Riyadh 11623, Saudi Arabia
2 Faculty of Sciences Dhar-Mahraz Department of Mathematics University Sidi Mohamed Ben Abdellah P.O. Box 1796 Atlas Fez 30000, Morocco
Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 229-237 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am41-2-10
Keywords: study existence solutions p biharmonic problem critical sobolev exponent navier boundary conditions using variational arguments establish existence precise interval parameters which problem admits nontrivial solution

Abdelouahed El Khalil 1 ; My Driss Morchid Alaoui 2 ; Abdelfattah Touzani 2

1 Department of Mathematics and Statistics College of Science Al-Imam Mohammad Ibn Saud Islamic University (IMSIU) P.O. Box 90950 Riyadh 11623, Saudi Arabia
2 Faculty of Sciences Dhar-Mahraz Department of Mathematics University Sidi Mohamed Ben Abdellah P.O. Box 1796 Atlas Fez 30000, Morocco 
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Abdelouahed El Khalil; My Driss Morchid Alaoui; Abdelfattah Touzani. On the $p$-biharmonic operator with critical Sobolev exponent. Applicationes Mathematicae, Tome 41 (2014) no. 2-3, pp. 229-237. doi: 10.4064/am41-2-10

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