Abstract: In this talk, I will mention two kinds of problems. The first is locally conformally flat manifolds with nonnegative Ricci curvature; The second is hypersurfaces with nonnegative Ricci curvature in hyperbolic space. Both problems are related to n-Laplacian equation. We will use nonlinear potential theory to deal with n-Laplacian equation. This is a joint work with Professor Jie Qing.