Singular p-biharmonic problem with the Hardy potential
Articles
Amor Drissi
Tunis El Manar University
https://orcid.org/0000-0003-2704-4997
Abdeljabbar Ghanmi
Tunis El Manar University
https://orcid.org/0000-0001-8121-0496
Dušan D. Repovš
University of Ljubljana
https://orcid.org/0000-0002-6643-1271
Published 2024-06-25
https://doi.org/10.15388/namc.2024.29.35410
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Keywords

p-biharmonic equation
variational methods
existence of solutions
Hardy potential
Nehari manifold
fibering map

How to Cite

Drissi, A., Ghanmi, A. and Repovš, D.D. (2024) “Singular p-biharmonic problem with the Hardy potential”, Nonlinear Analysis: Modelling and Control, pp. 1–21. doi:10.15388/namc.2024.29.35410.

Abstract

The aim of this paper is to study existence results for a singular problem involving the p-biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given to illustrate the importance of these results.

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