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MiS Preprint
96/2003
Application of The Method of Moving Planes to Conformally Invariant Equations
Pengfei Guan, Chang-Shou Lin and Guofang Wang
Abstract
In this paper, we apply the method of moving planes to a class of fully nonlinear conformal equations on locally conformally flat manifolds. The Harnack inequality, global estimates and hence existence are obtained for solutions. As an application, we obtain a sphere theorem.