English

Interior $C^2$ estimates for a class of sum Hessian equation

Analysis of PDEs 2025-01-14 v1

Abstract

In this paper, we mainly study the interior C2C^2 estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for 0<k<n0<k<n. If k=nk=n, we derive a weaker Pogorelov type estimates.

Keywords

Cite

@article{arxiv.2501.06992,
  title  = {Interior $C^2$ estimates for a class of sum Hessian equation},
  author = {Changyu Ren and Ziyi Wang},
  journal= {arXiv preprint arXiv:2501.06992},
  year   = {2025}
}