Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

Li Chen; Yan He

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Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

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arxiv 2006.02325 v1 pith:6HM3N3GA submitted 2020-06-03 math.AP

Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

Li Chen , Yan He This is my paper

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In this paper, we consider fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove the a priori estimates for solutions to these equations and establish the existence results. Our results can be viewed as an extension of previous results given by Gursky-Viaclovsky and Li-Sheng.

Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature

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