Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below

Carlo Morpurgo; Liuyu Qin

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arXiv · 2602.09677

Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below

Carlo Morpurgo·Liuyu Qin

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Abstract

We establish Sobolev and Moser-Trudinger inequalities with best constants on noncompact Riemannan manifolds with Ricci curvature bounded below, and positive injectivity radius.

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Carlo Morpurgo, Liuyu Qin. 2026-02-10. Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below. https://arxiv.org/abs/2602.09677

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