English

The Monge-Amp\`ere equation in cones and polygonal domains

Analysis of PDEs 2023-12-05 v1

Abstract

We study asymptotic behaviors of solutions to the Monge-Amp\`ere equation in cones and use the expansion as a tool to study the regularity of solutions in polygonal domains.

Keywords

Cite

@article{arxiv.2312.01405,
  title  = {The Monge-Amp\`ere equation in cones and polygonal domains},
  author = {Genggeng Huang and Weiming Shen},
  journal= {arXiv preprint arXiv:2312.01405},
  year   = {2023}
}