Multiple solutions for a fourth-order elliptic equation involving singularity

Document Type : Research Paper


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.