Work

Sharp Estimates and Inequalities on Riemannian Manifolds with Euclidean Volume Growth

Year: 2026

Type: article

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.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-026-02364-6

Authors: Luigi Fontana, Carlo Morpurgo, Liuyu Qin

Institutions: University of Milano-Bicocca, University of Missouri, Hunan University of Finance and Economics

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: National Natural Science Foundation of China