Singular $p$-biharmonic problem with the Hardy potential

Drissi, Amor (author), Ghanmi, Abdeljabbar (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: p-biharmonic equation, variational methods, existence of solutions, Hardy potential, Nehari manifold, fibering map
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics; PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.01.2024
• Year: 2024
• Number of pages: Str. 762-782
• Numbering: Vol. 29, no. 4
• PID: 20.500.12556/RUL-159379
• UDC: 517.9
• ISSN on article: 1392-5113
• DOI: 10.15388/namc.2024.29.35410
• COBISS.SI-ID: 199996931
• Publication date in RUL: 08.07.2024

Record is a part of a journal

• Title: Nonlinear analysis : modelling and control
• Shortened title: Nonlinear anal.
• Publisher: Institute of Mathematics and Informatics, Institute of Mathematics and Informatics, University Press
• ISSN: 1392-5113
• COBISS.SI-ID: 524127769

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.