Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds

Abstract

We prove estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. These equations are not arbitrary, but arise naturally in the study of conformal geometry.

25 pages; v2 fixed typos; v3 constant in Theorem 2 is now optimal

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