English

The Neumann problem for a class of mixed complex Hessian equations

Analysis of PDEs 2020-03-16 v1

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.

Keywords

Cite

@article{arxiv.2003.06147,
  title  = {The Neumann problem for a class of mixed complex Hessian equations},
  author = {Chuan-Qiang Chen and Li Chen and Ni Xiang},
  journal= {arXiv preprint arXiv:2003.06147},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T14:13:39.269Z