Jungang Li

University of Connecticut

Talk Title: Moser-Trudinger Inequalities on Riemannian Manifolds

Abstract: As the borderline case of Sobolev inequalities, Moser-Trudinger inequalities have wide applications to the differential geometry and PDE. In this talk, I will first introduce a recent progress of Moser-Trudinger inequalities on noncompact Riemannian manifolds. I will also talk about a Moser-Trudinger type inequality for smooth maps between Riemannian manifolds. The first topic is a joint work with Guozhen Lu and the second topic is a joint work with Guozhen Lu and Xing Wang.