WEEKLY ACTIVITIES

Time: 9h00, Wednesday, December 23, 2015
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: First, I will introduce the relationship between the theory of harmonic functions and geometric structures of Riemannian manifolds. Secondly, from a variational point of view, p-harmonic function, or more general weighted p-harmonic functions are natural extensions of harmonic functions, or weight harmonic functions, respectively. Compared with the theory for (weighted) harmonic functions, the study of (weighted) p-harmonic functions is generally harder, even though elliptic,is degenerate and the regularity results are far weaker. In my talk, I will show some rigidity theorems of Riemannian manifolds via p-Laplacian.