English

A priori estimates for the complex Monge-Amp\`ere equation after Krylov

Complex Variables 2025-07-30 v1 Analysis of PDEs

Abstract

We establish an analytic proof for the Krylov C1,1C^{1,1} estimates for solutions of degenerate complex Monge-Amp\`ere equation. We also provide an analytic proof of the Bedford-Taylor interior C1,1C^{1,1} estimate.

Keywords

Cite

@article{arxiv.2507.21729,
  title  = {A priori estimates for the complex Monge-Amp\`ere equation after Krylov},
  author = {Sławomir Dinew and Marcin Sroka},
  journal= {arXiv preprint arXiv:2507.21729},
  year   = {2025}
}