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Singular p-biharmonic problem with the Hardy potential.

Authors :
Drissi, Amor
Ghanmi, Abdeljabbar
Repovš, Dušan D.
Source :
Nonlinear Analysis: Modeling & Control; 2024, Vol. 29 Issue 4, p762-782, 21p
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13925113
Volume :
29
Issue :
4
Database :
Complementary Index
Journal :
Nonlinear Analysis: Modeling & Control
Publication Type :
Academic Journal
Accession number :
179301972
Full Text :
https://doi.org/10.15388/namc.2024.29.35410