English

Asymptotic expansion at infinity of solutions of Monge-Amp\`ere type equations

Analysis of PDEs 2022-02-14 v1

Abstract

We obtain a quantitative expansion at infinity of solutions for a kind of Monge-Amp\`ere type equations that origin from mean curvature equations of Lagrangian graph (x,Du(x))(x,Du(x)) and refine the previous study on zero mean curvature equations and the Monge-Amp\`ere equations.

Keywords

Cite

@article{arxiv.2102.08723,
  title  = {Asymptotic expansion at infinity of solutions of Monge-Amp\`ere type equations},
  author = {Zixiao Liu and Jiguang Bao},
  journal= {arXiv preprint arXiv:2102.08723},
  year   = {2022}
}