Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

Fareh, Soraya (author), Akrout, Kamel (author), Ghanmi, Abdeljabbar (author), Repovš, Dušan (author)

In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional $p$-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.

• Language: English
• Keywords: variational methods, Nehari manifold, elliptic equations, multiplicity of solutions
• 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: 16 str.
• Numbering: Vol. 12, iss. 1, art. 20220318
• PID: 20.500.12556/RUL-146993
• UDC: 517.9
• ISSN on article: 2191-9496
• DOI: 10.1515/anona-2022-0318
• COBISS.SI-ID: 155515651
• Publication date in RUL: 19.06.2023

Record is a part of a journal

• Title: Advances in nonlinear analysis
• Publisher: De Gruyter
• ISSN: 2191-9496
• COBISS.SI-ID: 16253785

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.