Singular $p$-biharmonic problems involving the Hardy-Sobolev exponent

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

This article concerns the existence and multiplicity of solutions for the singular p-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. To this end we use variational methods combined with the Mountain pass theorem and the Ekeland variational principle. We illustrate the usefulness of our results with an example.

• Language: English
• Keywords: p-Laplacian operator, p-biharmonic equation, variational method, existence of solutions, Hardy potential, critical Hardy-Sobolev exponent, Ekeland variational principle, mountain pass geometry
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 12 str.
• Numbering: Vol. 2023, no. 61
• PID: 20.500.12556/RUL-150993
• UDC: 517.9
• ISSN on article: 1072-6691
• DOI: 10.58997/ejde.2023.61
• COBISS.SI-ID: 165693699

Copyright

Podatek o licenci CC-BY je naveden na prvi strani članka.

• Publication date in RUL: 26.09.2023

Record is a part of a journal

• Title: Electronic journal of differential equations
• Shortened title: Electr. j. differ. equ.
• Publisher: Southwest Texas State University, University of North Texas
• ISSN: 1072-6691
• COBISS.SI-ID: 7027289

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.