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

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

2001-04-24

arxiv.org/abs/math/0104227v3

Final version: Communications in Analysis and Geometry 10 (2002), no.4, 815-846

Mathematics

Differential Geometry

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

Scientific paper

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.

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