The Neumann problem for a class of mixed complex Hessian equations

Abstract

In this paper, we consider the Neumann problem of a class of mixed complex Hessian equations, and establish the global C^1 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 C^2 estimates and the existence theorems when k=n.

20 pages. arXiv admin note: substantial text overlap with arXiv:2003.05287; text overlap with arXiv:1903.04231 by other author