7 citations · 8 across the 6 of their papers we have counts for
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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…
Adams inequalities for Riesz subcritical potentials
Luigi Fontana, Carlo Morpurgo
We derive Adams inequalities for potentials on general measure spaces, extending and improving previous results obtained by the authors. The integral operators involved, which we c…
Sharp Adams and Moser-Trudinger inequalities on R^n and other spaces of infinite measure
Luigi Fontana, Carlo Morpurgo
We derive sharp Adams inequalities for the Riesz and other potentials of functions with arbitrary compact support in R^n. Up to now such results were only known for a class of func…