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Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds
Authors:Heming Jiao
Abstract:In this paper, we derive second order estimates for a class of non-concaveHessian type elliptic equations on Riemannian manifolds. By applying a new methodfor $C^2$ estimates, we can weaken some conditions, which works for some non-concaveequations. Gradient estimates are also obtained.
Keywords:Non-concave fully nonlinear elliptic equations   Riemannian manifolds   a priori estimates   Dirichlet problem   subsolutions.
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