Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth
Luigi Fontana, Carlo Morpurgo, Liuyu Qin
公開日: 2024/12/7
Abstract
We obtain sharp estimates for heat kernels and Green's functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds.