华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 15-20.

• 数学 统计学 • 上一篇    下一篇

Christoffel-Minkowski问题的C1,1先验估计(英)

徐 露   

  1. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2004-12-28 修回日期:2005-06-17 出版日期:2006-05-25 发布日期:2006-05-25
  • 通讯作者: 徐 露

C1,1 A Priori Estimates for the Christoffel-Minkowski Problem(English)

XU Lu   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2004-12-28 Revised:2005-06-17 Online:2006-05-25 Published:2006-05-25
  • Contact: XU Lu

摘要: 通过Bernstein方法,对来源于凸体几何中的Christoffel-Minkowski问题,建立了球面上的退化的Hessian方程的C1,1先验估计,在一定程度上推广了Krylov的结果.

关键词: 允许解, Hessian方程, 先验估计, 允许解, Hessian方程, 先验估计

Abstract: Based on Bernstein's technique, this paper established the C1,1 a priori estimates for degenerate Hessian equation on Sn, which is corresponding to Christoffel-Minkowski problem in convexity geometry. It refined the results of Krylov.

Key words: Hessian equation, a priori estimates, admissible solution, Hessian equation, a priori estimates

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