4 papers · 1 filter
Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below
Carlo Morpurgo, Liuyu Qin
We establish Sobolev and Moser-Trudinger inequalities with best constants on noncompact Riemannan manifolds with Ricci curvature bounded below, and positive injectivity radius.
Sharp Sobolev inequalities on noncompact Riemannian manifolds with bounded Ricci curvature
Carlo Morpurgo, Stefano Nardulli, Liuyu Qin
Given a smooth, complete Riemannian manifold with bounded Ricci curvature and positive injectivity radius, we derive a sharp Sobolev inequality for the embedding of $W^{1,p}(M)…
Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth
Luigi Fontana, Carlo Morpurgo, Liuyu Qin
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 t…
Moser-Trudinger inequalities: from local to global
Luigi Fontana, Carlo Morpurgo, Liuyu Qin
Given a general complete Riemannian manifold , we introduce the concept of "local Moser-Trudinger inequality on ". We show how the validity of the Moser-Trudinger in…