@article { author = {Mahdavi Khanghahi, Reza and Razani, Abdolrahman}, title = {Multiple solutions for a fourth-order elliptic equation involving singularity}, journal = {Computational Methods for Differential Equations}, volume = {9}, number = {3}, pages = {818-829}, year = {2021}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2020.34709.1584}, abstract = {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.}, keywords = {Higher-order elliptic equations,Singular nonlinear boundary value problems,Critical point theory,Variational methods}, url = {https://cmde.tabrizu.ac.ir/article_10936.html}, eprint = {https://cmde.tabrizu.ac.ir/article_10936_9dd71b38fdf9ba8c297e4a697067cedf.pdf} }