Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity
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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 .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
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Taliaferro, S. D., & Zhang, L.
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