- - - Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
- - - Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

Here, we consider a fourth-order elliptic problem involving singularity and p(x)- biharmonic operator. Using Hardy’s inequality, S+-condition, and Palais-Smale condition, the existence of weak solutions in a bounded domain in RN is proved. Finally, we percent some examples.

Higher-order elliptic equations, Singular nonlinear boundary value problems, Critical point theory, Variational methods