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A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry

Wang, Xu-Jia


In this paper we prove the interior gradient and second derivative estimates for a class of fully nonlinear elliptic equations determined by symmetric functions of eigenvalues of the Ricci or Schouten tensors. As an application we prove the existence of solutions to the equations when the manifold is locally conformally flat or the Ricci curvature is positive.

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: Chinese Annals of Mathematics Series B
DOI: 10.1007/s11401-005-0529-6


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