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In this paper,we consider the semilinear equation involving the fractional Laplacian in the Euclidian space Rn:（-△）α/2u（x） = f（xn）up（x）,x ∈ Rn（0.1）in the subcritical case with 1 < p <（n+α）/（n-α）.Instead of carrying out direct investigations on pseud