Aydin, Ismail2025-03-232025-03-2320240971-36112367-2501https://doi.org/10.1007/s41478-023-00628-whttps://hdl.handle.net/11486/6732We give a new compact embedding theorem, and use an equivalent norm to obtain some different solutions of the weighted p(.)-biharmonic eigenvalue problem [GRAPHICS] Using Mountain Pass Theorem we show that the problem has a nontrivial weak solution. Moreover, we obtain infinite many pairs of solutions of the problem due to the Fountain Theorem.eninfo:eu-repo/semantics/closedAccessWeighted p(.)-biharmonic operatorPoincare inequalityVariational methodsArticle32117119010.1007/s41478-023-00628-w2-s2.0-85185806087Q2WOS:001033648000001N/A