Multiple solutions for a fourth-order elliptic equation involving singularity

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.

کلیدواژه ها:

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