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