English

Notes on generalized special Lagrangian equation

Analysis of PDEs 2023-11-27 v1

Abstract

We obtain a prior C1,1C^{1,1} estimates for some Hessian (quotient) equations with positive Lipschitz right hand sides, through studying a twisted special Lagrangian equation. The results imply the interior C2,αC^{2,\alpha} regularity for C0C^0 viscosity solutions to σ2=f2(x)\sigma_2=f^2(x) in dimension 3, with positive Lipschitz f(x)f(x).

Keywords

Cite

@article{arxiv.2311.14260,
  title  = {Notes on generalized special Lagrangian equation},
  author = {Xingchen Zhou},
  journal= {arXiv preprint arXiv:2311.14260},
  year   = {2023}
}
R2 v1 2026-06-28T13:29:59.399Z