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

2018/01/15 by Dong, Weisong
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.04740

Abstract

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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