主讲人:王志张教授(复旦大学)
课程简介:
In this course, we would like to mention some topics of the k-Hessian equations. We first give a preliminary, then we will talk about the Dirichlet problem, the global curvature estimates and the applicaiton of these estimates in Minkowski space.
Time:
14:00-15:30, Dec 18
10:30-12:00, Dec 22
14:00-15:30, Dec 25
10:30-12:00, Dec 29
Venue: 数学中心研讨室(至善楼602)
Online: Zoom:811 5638 1768(Password:msrc)
Reference:
[1] Caffarelli, L.A., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian. Acta Math. 155, 261–301 (1985).
[2] Lin,M.,Trudinger,N.S.:Onsomeinequalitiesforelementarysymmetricfunctions.Bull.Austral.Math. Soc. 50, 317–326 (1994).
[3] N.S. Trudinger, On the Dirichlet problem for Hessian equations, Acta Math. 175 (1995) 151–164.
[4] Li,M.,Ren,C.,Wang,Z.:Aninteriorestimateforconvexsolutionsandarigiditytheorem.J.Funct.Anal. 270, 2691–2714 (2016).
[5] Zhizhang Wang, Ling Xiao, Entire spacelike hypersurfaces with constant σk curvature in Minkowski space, Math. Ann. 382 (3–4) (2022) 1279–1322.