On a fourth-order Neumann problem in variable exponent spaces

Zuo, Jiabin (author), El Allali, Zakaria (author), Taarabti, Said (author), Repovš, Dušan (author)

We study the Neumann problem with Leray-Lions type operator. Using the classical variational theory, we prove the existence, uniqueness and multiplicity of solutions. As far as we know, this is the first attempt to investigate such a fourth-order problem involving Leray-Lions type operators.

• Language: English
• Keywords: Neumann problem, Leray-Lions operator, variational methods, Ricceri’s three critical points, Fountain theorem
• 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: Author Accepted Manuscript
• Year: 2023
• Number of pages: Str. 2027-2039
• Numbering: Vol. 37, no. 7
• PID: 20.500.12556/RUL-145829
• UDC: 517.956
• ISSN on article: 0354-5180
• DOI: 10.2298/FIL2307027Z
• COBISS.SI-ID: 141360387

Copyright

Za shranitev avtorjevega recenziranega rokopisa v Repozitorij Univerze v Ljubljani je bilo pridobljeno založnikovo dovoljenje. (Datum opombe: 17. 5. 2023)

• Publication date in RUL: 16.05.2023

ZUO, Jiabin, EL ALLALI, Zakaria, TAARABTI, Said and REPOVŠ, Dušan, 2023, On a fourth-order Neumann problem in variable exponent spaces. Filomat [online]. 2023. Vol. 37, no. 7, p. 2027–2039. [Accessed 11 April 2025]. DOI 10.2298/FIL2307027Z. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=145829

Record is a part of a journal

• Title: Filomat
• Shortened title: Filomat
• Publisher: Faculty of Sciences and Mathematics, University of Niš
• ISSN: 0354-5180
• COBISS.SI-ID: 1024191828