Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 526-532.

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 53C
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