陳瑞堂　博士藍格維2019-09-052014-12-122019-09-052014http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0699400118%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101827In 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.p-Laplace operatorgradient estimatep-Laplace operatorgradient estimate