Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity

Authors:
Steven D. Taliaferro and Lei Zhang

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2895-2902

MSC (2000):
Primary 35J60, 53C21

DOI:
https://doi.org/10.1090/S0002-9939-03-06932-6

Published electronically:
January 28, 2003

MathSciNet review:
1974347

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Abstract | References | Similar Articles | Additional Information

Abstract: We study the conformal scalar curvature problem

where is a continuous function. We show that a necessary and sufficient condition on for this problem to have positive solutions which are arbitrarily large at is that be less than 1 on a sequence of points in which tends to .

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Additional Information

**Steven D. Taliaferro**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368

Email:
stalia@math.tamu.edu

**Lei Zhang**

Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368

Email:
lzhang@math.tamu.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-06932-6

Received by editor(s):
March 1, 2002

Received by editor(s) in revised form:
April 11, 2002

Published electronically:
January 28, 2003

Communicated by:
Bennett Chow

Article copyright:
© Copyright 2003
American Mathematical Society