Asymptotic symmetries for conformal scalar curvature equations with singularity
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abstract
We give conditions on a positive Hlder continuous function C 2such that every C 2 positive solution u((x)) of the conformal scalar curvature equation equation presented in a punctured neighborhood of the origin in R n either has a removable singularity at the origin or satisfies equation presented for some positive singular solution u 0(|x|) of equation presented where (0,1) is the Hlder exponent of K.