Abstract: | In this article, we study the nonexistence of solution with finite Morse index for the following Choquard type equationwhere N ≥ 3, 0 < α < {4,N}. Suppose that 2 < p < , we will show that this problem does not possess nontrivial solution with finite Morse index. While for , if i(u) < ∞ then we have and . |