English

On singular Abreu equations in higher dimensions

Analysis of PDEs 2019-10-04 v3

Abstract

We study the solvability of the second boundary value problem of a class of highly singular, fully nonlinear fourth order equations of Abreu type in higher dimensions under either a smallness condition or radial symmetry.

Keywords

Cite

@article{arxiv.1905.09696,
  title  = {On singular Abreu equations in higher dimensions},
  author = {Nam Q. Le},
  journal= {arXiv preprint arXiv:1905.09696},
  year   = {2019}
}

Comments

v2: modified a bit the statement and the proof of Proposition 1.7; v3: strengthened and simplified the proof of Theorem 1.3; This note is a sequel to arXiv:1811.02355

R2 v1 2026-06-23T09:19:55.053Z