article · Applicable Analysis
AbstractIn this manuscript, we show that at least three weak solutions exist for a non-local p(x)-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.KEYWORDS: Critical theoremgeneralized Sobolev spacevariable exponentMATHEMATICS SUBJECT CLASSIFICATION (2020): 35J2035J6035G3035J3546E35 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 statementNo potential conflict of interest was reported by the author(s).
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DOI: 10.1080/00036811.2023.2245836
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