Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth

Luigi Fontana; Carlo Morpurgo; Liuyu Qin

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arXiv · 2412.05638

Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth

Luigi Fontana·Carlo Morpurgo·Liuyu Qin

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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.

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Luigi Fontana, Carlo Morpurgo, Liuyu Qin. 2024-12-07. Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth. https://arxiv.org/abs/2412.05638

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