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arxiv: 1801.04740 · v2 · pith:EPUC4WDHnew · submitted 2018-01-15 · 🧮 math.AP

Interior and boundary gradient estimates for Neumann problem of fully nonlinear Hessian equations

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keywords estimatesgradientboundaryinterioradmissibleequationsfullyhessian
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In this paper we study the {\it a priori} gradient estimates for admissible solutions to Neumann boundary value problem of fully nonlinear Hessian equations on Riemannian manifolds. We firstly derive an interior gradient estimates for admissible solutions, then we obtain boundary gradient estimates based on the interior gradient estimates we have got.

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