Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 344-351.

Previous Articles     Next Articles

The Uniqueness and Nonexistent Results for Some Nonlinear Partial Equations on Riemannian Manifolds

  


  1. Department of Mathematics Henan Normal University,Department of Mathematics Henan Normal University Xinxiang 453002,China,Xinxiang 453002,China
  • Received:2005-05-11 Online:2007-09-30 Published:2023-10-25
  • About author: LI Xing-xiao(1958-), male, native of Jiyuan, Henan, a professor of Henna Normal University, Ph.D., engages in Riemannian geometry; CAO Lin-fen(1975-), female, native of Linzhou, Henan, a lecturer of Henan Normal University, Ph.D., engages in submanifolds geometry.
  • Supported by:
    Supported by NSF of Henan Province(004051900)

Abstract: The paper studies a class of nonlinear elliptic partial differential equations on a compact Riemannian manifold (M,g) with some curvature restriction.The authors try to prove some uniqueness and nonexistent results for the positive solutions of the equations concerned.

Key words: compact Riemannian manifold, nonlinear elliptic equation, positive solution uniqueness and nonexistance

CLC Number: