A note on gradient estimate for the equation associated to the p-Laplace operator

Abstract

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.