Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity Conference Paper uri icon

abstract

  • We study the conformal scalar curvature problem k(x)un+2/n-2 -u un+2/n-2 in Rn, n 3 where k : Rn (0,1] is a continuous function. We show that a necessary and sufficient condition on k for this problem to have C2 positive solutions which are arbitrarily large at is that k be less than 1 on a sequence of points in Rn which tends to .

published proceedings

  • PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Taliaferro, S. D., & Zhang, L.

citation count

  • 4

complete list of authors

  • Taliaferro, SD||Zhang, L

publication date

  • January 2003