关键词: 非局部椭圆方程, Navier边值问题, p-双调和算子, 变分方法, 广义解

Abstract: By using  variational methods and corresponding critical points theorems, we investigated a class of nonlocal elliptic equations Navier boundary value problems with p-biharmonic operators. We obtained two existence theorems for nontrivial generalized solutions 
 when nonlinear terms satisfied super-linear conditions.

Key words:  , nonlocal elliptic equation, Navier boundary value problem, p-biharmonic operator, variational method, generalized solution