Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

preprint2014arXivOpen access

In this paper, we obtain a uniform $W^{2,\varepsilon}$ -estimate of solutions to the fully nonlinear uniformly elliptic equations on Riemannian manifolds with a lower bound of sectional curvature using the ABP method.

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Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

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