Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential

Affiliations

Khalil Abdelouahed El: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, 11623, Riyadh, KSA
Laghzal Mohamed: Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, P.O. Box 1796, Atlas Fez, Morocco
Alaoui My Driss Morchid: Department of Mathematics Moulay Ismail University of Meknes Faculty of Sciences and Technologies BP 509, Boutalamine, 52000, Errachidia, Morocco
Touzani Abdelfattah: Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, P.O. Box 1796, Atlas Fez, Morocco

Abstract

In this paper, we consider the nonlinear eigenvalue problem: