The Neumann problem for a class of mixed complex Hessian equations

2020/03/13 by Chen, Chuan-Qiang, Chen, Li, Xiang, Ni
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.06147

Abstract

In this paper, we consider the Neumann problem of a class of mixed complex Hessian equations, and establish the global C¹ estimates a nd reduce the global second derivative estimate to the estimate of double normal second derivatives on the boundary. In particular, we can prove the global C² estimates and the existence theorems when k=n.

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