English

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

Differential Geometry 2009-08-26 v3 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0104227,
  title  = {Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds},
  author = {Jeff Viaclovsky},
  journal= {arXiv preprint arXiv:math/0104227},
  year   = {2009}
}

Comments

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