Dung Nguyen Thac

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.