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arxiv: 1404.5036 · v1 · pith:XLRP2RD5new · submitted 2014-04-20 · 🧮 math.AP

Second derivative estimates for uniformly elliptic operators on Riemannian manifolds

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keywords ellipticmanifoldsriemannianuniformlyboundcurvaturederivativeequations
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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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