Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
Application of The Method of Moving Planes to Conformally Invariant Equations
Pengfei Guan, Chang-Shou Lin and Guofang Wang
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.