Title of article :
Multiple solutions for a fourth-order elliptic equation involving sin- gularity
Author/Authors :
Mahdavi Khanghahi, Reza Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University - Qazvin, Iran , Razani, Abdolrahman Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University - Qazvin, Iran
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
Journal title :
Computational Methods for Differential Equations
