Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (3): 15-20.

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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

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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