In this paper, we study p-Laplace operators on complete noncompact manifolds. Ac-
cording to Kotschwar-Ni gradient estimat for positive p-harmonic functions, we extend
their result to more general equation associated to the p-Laplace operator whenever
the sectional curvature of M has lower bound.

In this paper, we study p-Laplace operators on complete noncompact manifolds. Ac-
cording to Kotschwar-Ni gradient estimat for positive p-harmonic functions, we extend
their result to more general equation associated to the p-Laplace operator whenever
the sectional curvature of M has lower bound.

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