Abstract
OF THE DISSERTATION Asymptotic behavior of solutions to the conformal quotient equation by Yunpeng Wang Dissertation Director: Professor YanYan Li We classify all radial admissible solutions to the conformal quotient equation on the punctured Euclidean space and prove that an admissible solution to the conformal quotient equation with an isolated singular point is asymptotic to a radial solution. We also provide an alternative proof to obtain higher order expansion of solutions using analysis of the linearized operators. This dissertation is based on a preprint of the author [89].
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