English

Weak solutions to the complex Monge-Amp\`ere equation on Hermitian manifolds

Differential Geometry 2015-11-23 v2 Complex Variables

Abstract

The main result asserts the existence of continuous solutions of the complex Monge-Amp\`ere equation with the right hand side in Lp,p>1L^p, p>1, on compact Hermitian manifolds.

Keywords

Cite

@article{arxiv.1312.5491,
  title  = {Weak solutions to the complex Monge-Amp\`ere equation on Hermitian manifolds},
  author = {Slawomir Kolodziej and Nguyen Ngoc Cuong},
  journal= {arXiv preprint arXiv:1312.5491},
  year   = {2015}
}

Comments

18 pages; minor corrections due to the referee report; final version to appear in Contemp. Math