华东师范大学学报(自然科学版) ›› 2004, Vol. 2004 ›› Issue (3): 11-15.

• 数学 统计学 • 上一篇    下一篇

Firey 2-和的Christoffel问题的变分解法

胡长青, 王培合, 沈纯理   

  1. 华东师范大学 数学系,上海 200062
  • 收稿日期:2003-03-14 修回日期:2003-05-09 出版日期:2004-09-25 发布日期:2004-09-25
  • 通讯作者: 胡长青

A Variational Proof of the Firey 2-sum Christoffel Problem

HU Chang-qing, WANG Pei-he, SHEN Chun-li   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2003-03-14 Revised:2003-05-09 Online:2004-09-25 Published:2004-09-25
  • Contact: HU Chang-qing

摘要: 用变分学的直接方法研究Sn上一类线性方程正解的存在性及其唯一性,从而给出Firey 2-和的Christoffel问题的一种证法.

关键词: Firey 2-和, Christoffel问题, 直接法, Firey 2-和, Christoffel问题, 直接法

Abstract: In this paper, we take a direct method in calculus of variation to discuss some linear equation on Sn and get the existence and the uniqueness of its positive solution, by this method we give a proof for the Firey 2-sum Christoffel problem.

Key words: Christoffel problem, direct method, Firey 2-sum, Christoffel problem, direct method

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