On weak solutions for fourth-order problems involving the Leray-Lions type operators

Kefi, Khaled (author), Repovš, Dušan (author), Saoudi, Kamel (author)

We investigate existence and multiplicity of weak solutions for fourth-order problems involving the Leray-Lions type operators in variable exponent spaces and improve a result of Bonanno and Chinnì (2011). We use variational methods and apply a multiplicity theorem of Bonanno and Marano (2010).

• Language: English
• Keywords: fourth-order PDE, generalized Sobolev space, Leray-Lions type operator, variable exponent, weak solution, variational method
• 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: 2021
• Number of pages: Str. 13060-13068
• Numbering: Vol. 44, iss. 17
• PID: 20.500.12556/RUL-133184
• UDC: 517.956
• ISSN on article: 0170-4214
• DOI: 10.1002/mma.7606
• COBISS.SI-ID: 72339203
• Publication date in RUL: 16.11.2021

KEFI, Khaled, REPOVŠ, Dušan and SAOUDI, Kamel, 2021, On weak solutions for fourth-order problems involving the Leray-Lions type operators. Mathematical methods in the applied sciences [online]. 2021. Vol. 44, no. 17, p. 13060–13068. [Accessed 13 June 2025]. DOI 10.1002/mma.7606. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=133184

Record is a part of a journal

• Title: Mathematical methods in the applied sciences
• Shortened title: Math. methods appl. sci.
• Publisher: Teubner, Wiley
• ISSN: 0170-4214
• COBISS.SI-ID: 25911808

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: 13.08.2021