English

A second order estimate for general complex Hessian equations

Complex Variables 2017-04-11 v3 Analysis of PDEs Differential Geometry

Abstract

We derive a priori C2C^2 estimates for the χ\chi-plurisubharmonic solutions of general complex Hessian equations with right-hand side depending on gradients.

Keywords

Cite

@article{arxiv.1508.03254,
  title  = {A second order estimate for general complex Hessian equations},
  author = {Duong H. Phong and Sebastien Picard and Xiangwen Zhang},
  journal= {arXiv preprint arXiv:1508.03254},
  year   = {2017}
}

Comments

17 pages, final version, to appear in Analysis and PDE

R2 v1 2026-06-22T10:33:04.777Z