Sharp Estimates and Inequalities on Riemannian Manifolds with Euclidean Volume Growth
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.
Authors
- Carlo Morpurgo (ORCID: https://orcid.org/0000-0002-0357-4048)
- Liuyu Qin
- Luigi Fontana (ORCID: https://orcid.org/0000-0003-3877-0417)
Institutions
- Hunan University of Finance and Economics (CN)
- University of Milano-Bicocca (IT)
- University of Missouri (US)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2026-03-31
- DOI
- https://doi.org/10.1007/s12220-026-02364-6
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China