Special Session 105: Nonlinear Differential Problems on Flat and Curved Structures: Variational and Topological Methods
Sharp inequalities on Riemannian manifolds with Euclidean volume growth
Carlo Morpurgo
University of Missouri
USA
Co-Author(s):    Luigi Fontana, Liuyu Qin
Abstract:
In this talk, I will discuss recent results on Moser-Trudinger inequalities on complete Riemannian manifolds with nonnegative Ricci curvature and large volume growth. These inequalities will feature different best constants under different norm conditions. The main tools involved in the proof are sharp asymptotic and global estimates for heat kernels and Green functions, combined with recent results on Adams inequalities on metric measure spaces, obtained in joint work with Liuyu Qin.
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