English

A Liouville's theorem for some Monge-Amp\`ere type equations

Analysis of PDEs 2022-04-05 v2

Abstract

We study a Monge-Amp\`ere type equation that interpolates the classical {\sigma_2} -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.

Keywords

Cite

@article{arxiv.2203.16661,
  title  = {A Liouville's theorem for some Monge-Amp\`ere type equations},
  author = {Hao Fang and Biao Ma and Wei Wei},
  journal= {arXiv preprint arXiv:2203.16661},
  year   = {2022}
}

Comments

37 pages

R2 v1 2026-06-24T10:32:36.732Z