English

Uniqueness and Stability in $\mathcal E(X,\omega)$

Complex Variables 2008-04-23 v1

Abstract

We prove uniqueness for the Dirichlet problem for the complex Monge-Amp\`ere equation on compact K\"ahler manifolds in the case of measures vanishing on pluripolar sets. As a by-product we generalize Xing's stability theorem.

Keywords

Cite

@article{arxiv.0804.3407,
  title  = {Uniqueness and Stability in $\mathcal E(X,\omega)$},
  author = {Sławomir Dinew},
  journal= {arXiv preprint arXiv:0804.3407},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T10:33:18.420Z