Multiple solutions for a fourth-order elliptic equation involving singularity

نویسندگان
Razani, Abdolrahman ID 1
Mahdavi Khanghahi, Reza ID 2

1 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

2 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

doi
10.22034/cmde.2020.34709.1584
چکیده

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.

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