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 Existence of three solutions for a Navier boundary value problem involving the $p(x)$-biharmonic Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1817-1826 https://doi.org/10.4134/BKMS.2013.50.6.1817Published online November 1, 2013 Honghui Yin and Ying Liu Huaiyin Normal University, Huaiyin Normal University Abstract : The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the $p(x)$-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri \cite{1}. Keywords : $p(x)$-biharmonic, three solutions, existence MSC numbers : 35D05, 35J60 Downloads: Full-text PDF