On the eigengraph for p-biharmonic equations with Rellich potentials and weight

Authors

  • A. El Khalil Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia
  • M. Laghzal Sidi Mohamed Ben Abdellah University, Morocco
  • M.D. Morchid Alaoui Moulay Ismail University of Meknes, Morocco
  • A. Touzani Sidi Mohamed Ben Abdellah University, Morocco

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.12

Keywords:

p-biharmonic operator, variational methods, Ljusternik-Schnirelman theory, Rellich potential

Abstract

Using a variational technique and inequality of Hardy-Rellich, we prove the existence of infinitely many eigencurve sequences of the p-biharmonic operator involving a Rellich potentials. A variational formulation of the first curve (eigengraph) is given.

Author Biographies

A. El Khalil, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia

Department of Mathematics and Statistics, College of Science, P.O. Box 90950, 11623 Riyadh, KSA

M. Laghzal, Sidi Mohamed Ben Abdellah University, Morocco

Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, P.O. Box 1796 Atlas Fez 

M.D. Morchid Alaoui, Moulay Ismail University of Meknes, Morocco

AMNEA Group, Department of Mathematics, Faculty of Sciences and Technologies, BP 509, Boutalamine, 52000 Errachidia

A. Touzani, Sidi Mohamed Ben Abdellah University, Morocco

Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, P.O. Box 1796 Atlas Fez

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS