On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditions

Kefi, Khaled (author), Irzi, Nawal (author), Al-Shomrani, Mohammed Mosa (author), Repovš, Dušan (author)

We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray-Lions operator with nonstandard growth conditions. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano [Appl. Anal. 89 (2010) 1-10].

• Language: English
• Keywords: Leray-Lions type operator, critical theorem, generalized Sobolev space, variable exponent
• 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
• Publication date: 05.10.2021
• Year: 2022
• Number of pages: art. 2150008 (13 str.)
• Numbering: Vol. 12, iss. 2
• PID: 20.500.12556/RUL-138835
• UDC: 517.956
• ISSN on article: 1664-3607
• DOI: 10.1142/S1664360721500089
• COBISS.SI-ID: 81043715
• Publication date in RUL: 22.08.2022

Record is a part of a journal

• Title: Bulletin of mathematical sciences
• Shortened title: Bull. math. sci.
• Publisher: Springer International Publishing
• ISSN: 1664-3607
• COBISS.SI-ID: 18343257

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.
• Licensing start date: 22.08.2022