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.


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Volume 9, Issue 3
July 2021
Pages 818-829
  • Receive Date: 23 July 2019
  • Revise Date: 03 May 2020
  • Accept Date: 10 May 2020
  • First Publish Date: 01 July 2021