Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

Soojung Kim

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arXiv · 1404.5036

Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

Soojung Kim

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Abstract

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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Soojung Kim. 2014-04-20. Second derivative estimates for uniformly elliptic operators on Riemannian manifolds. https://arxiv.org/abs/1404.5036

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