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设(M,g,e^-fdvg)是n维完备光滑的度量测度空间.考虑以下非线性椭圆方程△fu+hu^α=0,1<a<n+m/n+m-2(n+m≥4)和非线性抛物方程(△f-■/■t)u+huα=0,α>0正解的梯度估计.对于经典的Laplace情形Li (Li J.Gradient estimates and harnack inequalities for nonlinear parabolic and nonlinear elliptic equations'on Riemanni