English

New Approach for Interior Regularity of Monge-Amp\`{e}re Equations

Analysis of PDEs 2024-09-25 v1

Abstract

By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-Amp\`{e}re equation detD2u=1\det D^2 u = 1.

Keywords

Cite

@article{arxiv.2409.15870,
  title  = {New Approach for Interior Regularity of Monge-Amp\`{e}re Equations},
  author = {Ruosi Chen and Xingchen Zhou},
  journal= {arXiv preprint arXiv:2409.15870},
  year   = {2024}
}