Người báo cáo: Nguyễn Thạc Dũng
Thời gian: 9h, Thứ 4, ngày 23 tháng 12, năm 2015
Địa điểm: Phòng 6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy Hà Nội
Tóm tắt: 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. |
