Abstract
In this manuscript, we show that at least three weak solutions exist for a non-local -biharmonic problem. The variational method and the critical theorem of Bonanno and Marano (Appl. Anal. 89 (2010), 1–10) are used to prove our main result.
The authors extend their appreciation to the Deanship of Scientific Research at Northern Border University, Arar, KSA for funding this research work through the project number ‘NBU-FFR-2023-0012’. The fourth author acknowledges the support of the Deanship of Science Research (DSR) at King Abdulaziz University, Jeddah.
Disclosure statement
No potential conflict of interest was reported by the author(s).