关键词: 临界点, 非平凡解, 分数阶椭圆型方程

Abstract: The author considered a class of fractional elliptic equation with superlinear nonlinearity and nonlocal coefficient by using  critical point theory and variational method. Some results for existence of nontrivial solutions of this kind of problem were obtained without the AmbrosettiRabinowitz’s superlinear condition.

Key words: critical point, nontrivial solution, fractional elliptic equation