Let (M=B×_fF, g) be an (n ≥ 3)-dimensional differential manifold with Riemannian metric g. We solve the following elliptic nonlinear partial differential equation (4(n - 1))/(n - 2) △_gu(χ) - h(χ)u(χ) + H(χ)u(χ)^((n+2)/(n-2)) = 0, where △_g is the Laplacian in the g-metric and h(χ) is the scalar curvature of g and H(χ) is a function on M.