数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 526-532.

• 论文 • 上一篇    下一篇

BIFURCATION IN PRESCRIBED MEAN CURVATURE PROBLEM

 马力   

  1. Department of Applied Mathematics, Tsinghua University, Beijing 100084, China
  • 出版日期:2002-10-14 发布日期:2002-10-14
  • 基金资助:

    This work is partially supported by NNSF of China, SRF for Returned Overseas Chinese Scholars, State Education Commission, and a scientific grant of Tsinghua University at Beijing.

BIFURCATION IN PRESCRIBED MEAN CURVATURE PROBLEM

 MA Li   

  1. Department of Applied Mathematics, Tsinghua University, Beijing 100084, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    This work is partially supported by NNSF of China, SRF for Returned Overseas Chinese Scholars, State Education Commission, and a scientific grant of Tsinghua University at Beijing.

摘要:

This paper discusses the existence problem in the study of some partial dif-ferential equations. The author gets some bifurcation on the prescribed mean curvatureproblem on the unit ball, the scalar curvature problem on the n-sphere, and some fieldequations. The author gives some natural conditions such that the standard bifurcationor Thom-Mather theory can be used.

关键词: Bifurcation, scalar curvature, mean curvature, field equation

Abstract:

This paper discusses the existence problem in the study of some partial dif-ferential equations. The author gets some bifurcation on the prescribed mean curvatureproblem on the unit ball, the scalar curvature problem on the n-sphere, and some fieldequations. The author gives some natural conditions such that the standard bifurcationor Thom-Mather theory can be used.

Key words: Bifurcation, scalar curvature, mean curvature, field equation

中图分类号: 

  • 53C