Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 1-7.

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A Generalization of Yamabe Equation on Complete Manifolds 

  

  1. Department of Mathematics, Beihang University

  • Received:2006-01-15 Online:2010-03-30 Published:2023-06-07
  • About author:WU San-xing(1958- ), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in differential geometry.
  • Supported by:
     Supported by the NSFC(10871017);

Abstract: This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact Riemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.

Key words: Riemannian manifold, conformal Riemannian metric, semilinear elliptic PDE

CLC Number: