Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 89-95.

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On the Elliptic Equation "△u+K(x)e²u =0" with K(x) Positive Somewhere 

  


  1. College of Science Beihang University,College of Science,Beihang University,,Beijing 100083,China,Beijing 100083,China
  • Received:2006-12-25 Online:2008-03-30 Published:2023-10-16
  • About author:WU San-xing(1958-), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in partial diferential equation; ZHANG Jing(1982-), female, native of Lingbao, Henan, M.S.D., engages in partial differential equation.

Abstract: This paper considers the existence problem of an elliptic equation,which is equivalent to the prescribing conformal Gaussian curvature problem on R2.An existence result is proved.In particular,K(x) is allowed to be unbounded above.

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