In this paper,we obtain the gradient estimates of the positive solutions to the following equation defined on an n-dimensional complete Riemannian manifold △gu+auq(ln u)p+bu=0.The gradient bound does not depend on the bounds of the solution and the Laplacian of the distance function.Our result is an extension of the estimates on positive harmonic function[1]and the estimates of solutions to some nonlinear elliptic equation[10].
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