Document Type : Research Paper
Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad Kavous, Iran
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.